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Finding the Fourth Proportional to 458,672.40, 688,008.60 and 417,338.10

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Solution

The fourth proportional to 458,672.40, 688,008.60 and 417,338.10 is: 626,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,672.40 : 688,008.60 = 417,338.10 : x
  2. Step 2: Convert to fraction form
    458,672.40/688,008.60 = 417,338.10/x
  3. Step 3: Cross multiply
    458,672.40x = 688,008.60 × 417,338.10
  4. Step 4: Simplify right side
    458,672.40x = 287,132,201,907.66
  5. Step 5: Solve for x
    x = 287,132,201,907.66/458,672.40
  6. Step 6: Final answer
    x = 626,007.15

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