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Finding the Fourth Proportional to 527,136.08, 727,448.09 and 285,418.80

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Solution

The fourth proportional to 527,136.08, 727,448.09 and 285,418.80 is: 393,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,136.08 : 727,448.09 = 285,418.80 : x
  2. Step 2: Convert to fraction form
    527,136.08/727,448.09 = 285,418.80/x
  3. Step 3: Cross multiply
    527,136.08x = 727,448.09 × 285,418.80
  4. Step 4: Simplify right side
    527,136.08x = 207,627,359,483.00
  5. Step 5: Solve for x
    x = 207,627,359,483.00/527,136.08
  6. Step 6: Final answer
    x = 393,878.11

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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.