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Finding the Fourth Proportional to 512,119.92, 706,721.59 and 282,677.18

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Solution

The fourth proportional to 512,119.92, 706,721.59 and 282,677.18 is: 390,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,119.92 : 706,721.59 = 282,677.18 : x
  2. Step 2: Convert to fraction form
    512,119.92/706,721.59 = 282,677.18/x
  3. Step 3: Cross multiply
    512,119.92x = 706,721.59 × 282,677.18
  4. Step 4: Simplify right side
    512,119.92x = 199,774,062,572.71
  5. Step 5: Solve for x
    x = 199,774,062,572.71/512,119.92
  6. Step 6: Final answer
    x = 390,092.35

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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.