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Finding the Fourth Proportional to 478,314.16, 717,471.24 and 416,728.24

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Solution

The fourth proportional to 478,314.16, 717,471.24 and 416,728.24 is: 625,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,314.16 : 717,471.24 = 416,728.24 : x
  2. Step 2: Convert to fraction form
    478,314.16/717,471.24 = 416,728.24/x
  3. Step 3: Cross multiply
    478,314.16x = 717,471.24 × 416,728.24
  4. Step 4: Simplify right side
    478,314.16x = 298,990,521,424.82
  5. Step 5: Solve for x
    x = 298,990,521,424.82/478,314.16
  6. Step 6: Final answer
    x = 625,092.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.