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Finding the Fourth Proportional to 411,257.97, 567,678.87 and 282,622.32

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Solution

The fourth proportional to 411,257.97, 567,678.87 and 282,622.32 is: 390,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,257.97 : 567,678.87 = 282,622.32 : x
  2. Step 2: Convert to fraction form
    411,257.97/567,678.87 = 282,622.32/x
  3. Step 3: Cross multiply
    411,257.97x = 567,678.87 × 282,622.32
  4. Step 4: Simplify right side
    411,257.97x = 160,438,719,254.38
  5. Step 5: Solve for x
    x = 160,438,719,254.38/411,257.97
  6. Step 6: Final answer
    x = 390,116.98

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1.5x scale

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.