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Finding the Fourth Proportional to 517,503.14, 776,008.92 and 180,502.88

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Solution

The fourth proportional to 517,503.14, 776,008.92 and 180,502.88 is: 270,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,503.14 : 776,008.92 = 180,502.88 : x
  2. Step 2: Convert to fraction form
    517,503.14/776,008.92 = 180,502.88/x
  3. Step 3: Cross multiply
    517,503.14x = 776,008.92 × 180,502.88
  4. Step 4: Simplify right side
    517,503.14x = 140,071,844,965.69
  5. Step 5: Solve for x
    x = 140,071,844,965.69/517,503.14
  6. Step 6: Final answer
    x = 270,668.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.