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Finding the Fourth Proportional to 471,560.49, 650,753.52 and 256,702.14

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Solution

The fourth proportional to 471,560.49, 650,753.52 and 256,702.14 is: 354,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,560.49 : 650,753.52 = 256,702.14 : x
  2. Step 2: Convert to fraction form
    471,560.49/650,753.52 = 256,702.14/x
  3. Step 3: Cross multiply
    471,560.49x = 650,753.52 × 256,702.14
  4. Step 4: Simplify right side
    471,560.49x = 167,049,821,196.53
  5. Step 5: Solve for x
    x = 167,049,821,196.53/471,560.49
  6. Step 6: Final answer
    x = 354,248.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.