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Finding the Fourth Proportional to 711,595.38, 982,045.17 and 409,886.58

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Solution

The fourth proportional to 711,595.38, 982,045.17 and 409,886.58 is: 565,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,595.38 : 982,045.17 = 409,886.58 : x
  2. Step 2: Convert to fraction form
    711,595.38/982,045.17 = 409,886.58/x
  3. Step 3: Cross multiply
    711,595.38x = 982,045.17 × 409,886.58
  4. Step 4: Simplify right side
    711,595.38x = 402,527,136,136.82
  5. Step 5: Solve for x
    x = 402,527,136,136.82/711,595.38
  6. Step 6: Final answer
    x = 565,668.56

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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.