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Finding the Fourth Proportional to 509,714.84, 764,591.69 and 260,105.24

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Solution

The fourth proportional to 509,714.84, 764,591.69 and 260,105.24 is: 390,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,714.84 : 764,591.69 = 260,105.24 : x
  2. Step 2: Convert to fraction form
    509,714.84/764,591.69 = 260,105.24/x
  3. Step 3: Cross multiply
    509,714.84x = 764,591.69 × 260,105.24
  4. Step 4: Simplify right side
    509,714.84x = 198,874,301,856.76
  5. Step 5: Solve for x
    x = 198,874,301,856.76/509,714.84
  6. Step 6: Final answer
    x = 390,167.77

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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.