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Finding the Fourth Proportional to 642,542.40, 963,813.60 and 405,115.20

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Solution

The fourth proportional to 642,542.40, 963,813.60 and 405,115.20 is: 607,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,542.40 : 963,813.60 = 405,115.20 : x
  2. Step 2: Convert to fraction form
    642,542.40/963,813.60 = 405,115.20/x
  3. Step 3: Cross multiply
    642,542.40x = 963,813.60 × 405,115.20
  4. Step 4: Simplify right side
    642,542.40x = 390,455,539,326.72
  5. Step 5: Solve for x
    x = 390,455,539,326.72/642,542.40
  6. Step 6: Final answer
    x = 607,672.80

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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.