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Finding the Fourth Proportional to 570,753.18, 856,138.14 and 271,264.32

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Solution

The fourth proportional to 570,753.18, 856,138.14 and 271,264.32 is: 406,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,753.18 : 856,138.14 = 271,264.32 : x
  2. Step 2: Convert to fraction form
    570,753.18/856,138.14 = 271,264.32/x
  3. Step 3: Cross multiply
    570,753.18x = 856,138.14 × 271,264.32
  4. Step 4: Simplify right side
    570,753.18x = 232,239,730,373.17
  5. Step 5: Solve for x
    x = 232,239,730,373.17/570,753.18
  6. Step 6: Final answer
    x = 406,900.46

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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.