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Finding the Fourth Proportional to 527,020.79, 727,288.94 and 285,303.38

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Solution

The fourth proportional to 527,020.79, 727,288.94 and 285,303.38 is: 393,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,020.79 : 727,288.94 = 285,303.38 : x
  2. Step 2: Convert to fraction form
    527,020.79/727,288.94 = 285,303.38/x
  3. Step 3: Cross multiply
    527,020.79x = 727,288.94 × 285,303.38
  4. Step 4: Simplify right side
    527,020.79x = 207,497,987,755.66
  5. Step 5: Solve for x
    x = 207,497,987,755.66/527,020.79
  6. Step 6: Final answer
    x = 393,718.79

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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.