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Finding the Fourth Proportional to 411,737.68, 568,068.47 and 230,420.80

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Solution

The fourth proportional to 411,737.68, 568,068.47 and 230,420.80 is: 317,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,737.68 : 568,068.47 = 230,420.80 : x
  2. Step 2: Convert to fraction form
    411,737.68/568,068.47 = 230,420.80/x
  3. Step 3: Cross multiply
    411,737.68x = 568,068.47 × 230,420.80
  4. Step 4: Simplify right side
    411,737.68x = 130,894,791,312.18
  5. Step 5: Solve for x
    x = 130,894,791,312.18/411,737.68
  6. Step 6: Final answer
    x = 317,908.22

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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.