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Finding the Fourth Proportional to 586,176.72, 809,082.96 and 344,536.92

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Solution

The fourth proportional to 586,176.72, 809,082.96 and 344,536.92 is: 475,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,176.72 : 809,082.96 = 344,536.92 : x
  2. Step 2: Convert to fraction form
    586,176.72/809,082.96 = 344,536.92/x
  3. Step 3: Cross multiply
    586,176.72x = 809,082.96 × 344,536.92
  4. Step 4: Simplify right side
    586,176.72x = 278,758,951,062.88
  5. Step 5: Solve for x
    x = 278,758,951,062.88/586,176.72
  6. Step 6: Final answer
    x = 475,554.46

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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.