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Finding the Fourth Proportional to 416,156.76, 574,234.76 and 252,728.28

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Solution

The fourth proportional to 416,156.76, 574,234.76 and 252,728.28 is: 348,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,156.76 : 574,234.76 = 252,728.28 : x
  2. Step 2: Convert to fraction form
    416,156.76/574,234.76 = 252,728.28/x
  3. Step 3: Cross multiply
    416,156.76x = 574,234.76 × 252,728.28
  4. Step 4: Simplify right side
    416,156.76x = 145,125,363,211.01
  5. Step 5: Solve for x
    x = 145,125,363,211.01/416,156.76
  6. Step 6: Final answer
    x = 348,727.64

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.