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Finding the Fourth Proportional to 512,124.38, 706,727.76 and 282,681.64

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Solution

The fourth proportional to 512,124.38, 706,727.76 and 282,681.64 is: 390,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,124.38 : 706,727.76 = 282,681.64 : x
  2. Step 2: Convert to fraction form
    512,124.38/706,727.76 = 282,681.64/x
  3. Step 3: Cross multiply
    512,124.38x = 706,727.76 × 282,681.64
  4. Step 4: Simplify right side
    512,124.38x = 199,778,962,230.33
  5. Step 5: Solve for x
    x = 199,778,962,230.33/512,124.38
  6. Step 6: Final answer
    x = 390,098.52

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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.