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Finding the Fourth Proportional to 416,565.47, 624,375.77 and 191,460.80

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Solution

The fourth proportional to 416,565.47, 624,375.77 and 191,460.80 is: 286,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,565.47 : 624,375.77 = 191,460.80 : x
  2. Step 2: Convert to fraction form
    416,565.47/624,375.77 = 191,460.80/x
  3. Step 3: Cross multiply
    416,565.47x = 624,375.77 × 191,460.80
  4. Step 4: Simplify right side
    416,565.47x = 119,543,480,345.63
  5. Step 5: Solve for x
    x = 119,543,480,345.63/416,565.47
  6. Step 6: Final answer
    x = 286,974.05

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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.