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Finding the Fourth Proportional to 580,475.28, 870,717.78 and 159,774.24

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Solution

The fourth proportional to 580,475.28, 870,717.78 and 159,774.24 is: 239,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,475.28 : 870,717.78 = 159,774.24 : x
  2. Step 2: Convert to fraction form
    580,475.28/870,717.78 = 159,774.24/x
  3. Step 3: Cross multiply
    580,475.28x = 870,717.78 × 159,774.24
  4. Step 4: Simplify right side
    580,475.28x = 139,118,271,553.99
  5. Step 5: Solve for x
    x = 139,118,271,553.99/580,475.28
  6. Step 6: Final answer
    x = 239,662.70

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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.