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Finding the Fourth Proportional to 657,942.87, 908,105.13 and 416,547.30

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Solution

The fourth proportional to 657,942.87, 908,105.13 and 416,547.30 is: 574,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,942.87 : 908,105.13 = 416,547.30 : x
  2. Step 2: Convert to fraction form
    657,942.87/908,105.13 = 416,547.30/x
  3. Step 3: Cross multiply
    657,942.87x = 908,105.13 × 416,547.30
  4. Step 4: Simplify right side
    657,942.87x = 378,268,740,017.65
  5. Step 5: Solve for x
    x = 378,268,740,017.65/657,942.87
  6. Step 6: Final answer
    x = 574,926.42

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