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Finding the Fourth Proportional to 512,581.56, 707,359.72 and 283,154.60

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Solution

The fourth proportional to 512,581.56, 707,359.72 and 283,154.60 is: 390,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,581.56 : 707,359.72 = 283,154.60 : x
  2. Step 2: Convert to fraction form
    512,581.56/707,359.72 = 283,154.60/x
  3. Step 3: Cross multiply
    512,581.56x = 707,359.72 × 283,154.60
  4. Step 4: Simplify right side
    512,581.56x = 200,292,158,572.71
  5. Step 5: Solve for x
    x = 200,292,158,572.71/512,581.56
  6. Step 6: Final answer
    x = 390,751.78

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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.