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Finding the Fourth Proportional to 415,424.30, 623,136.45 and 415,424.30

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Solution

The fourth proportional to 415,424.30, 623,136.45 and 415,424.30 is: 623,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,424.30 : 623,136.45 = 415,424.30 : x
  2. Step 2: Convert to fraction form
    415,424.30/623,136.45 = 415,424.30/x
  3. Step 3: Cross multiply
    415,424.30x = 623,136.45 × 415,424.30
  4. Step 4: Simplify right side
    415,424.30x = 258,866,023,545.74
  5. Step 5: Solve for x
    x = 258,866,023,545.74/415,424.30
  6. Step 6: Final answer
    x = 623,136.45

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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.