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Finding the Fourth Proportional to 433,114.76, 597,711.54 and 242,136.20

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Solution

The fourth proportional to 433,114.76, 597,711.54 and 242,136.20 is: 334,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,114.76 : 597,711.54 = 242,136.20 : x
  2. Step 2: Convert to fraction form
    433,114.76/597,711.54 = 242,136.20/x
  3. Step 3: Cross multiply
    433,114.76x = 597,711.54 × 242,136.20
  4. Step 4: Simplify right side
    433,114.76x = 144,727,600,991.75
  5. Step 5: Solve for x
    x = 144,727,600,991.75/433,114.76
  6. Step 6: Final answer
    x = 334,155.32

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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.