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Finding the Fourth Proportional to 415,007.40, 622,511.10 and 345,023.40

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Solution

The fourth proportional to 415,007.40, 622,511.10 and 345,023.40 is: 517,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,007.40 : 622,511.10 = 345,023.40 : x
  2. Step 2: Convert to fraction form
    415,007.40/622,511.10 = 345,023.40/x
  3. Step 3: Cross multiply
    415,007.40x = 622,511.10 × 345,023.40
  4. Step 4: Simplify right side
    415,007.40x = 214,780,896,259.74
  5. Step 5: Solve for x
    x = 214,780,896,259.74/415,007.40
  6. Step 6: Final answer
    x = 517,535.10

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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.