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Finding the Fourth Proportional to 360,667.74, 497,758.47 and 207,711.66

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Solution

The fourth proportional to 360,667.74, 497,758.47 and 207,711.66 is: 286,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,667.74 : 497,758.47 = 207,711.66 : x
  2. Step 2: Convert to fraction form
    360,667.74/497,758.47 = 207,711.66/x
  3. Step 3: Cross multiply
    360,667.74x = 497,758.47 × 207,711.66
  4. Step 4: Simplify right side
    360,667.74x = 103,390,238,082.76
  5. Step 5: Solve for x
    x = 103,390,238,082.76/360,667.74
  6. Step 6: Final answer
    x = 286,663.39

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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.