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Finding the Fourth Proportional to 520,068.20, 780,102.30 and 268,125.80

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Solution

The fourth proportional to 520,068.20, 780,102.30 and 268,125.80 is: 402,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,068.20 : 780,102.30 = 268,125.80 : x
  2. Step 2: Convert to fraction form
    520,068.20/780,102.30 = 268,125.80/x
  3. Step 3: Cross multiply
    520,068.20x = 780,102.30 × 268,125.80
  4. Step 4: Simplify right side
    520,068.20x = 209,165,553,269.34
  5. Step 5: Solve for x
    x = 209,165,553,269.34/520,068.20
  6. Step 6: Final answer
    x = 402,188.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.