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Finding the Fourth Proportional to 527,833.69, 729,012.02 and 357,772.57

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Solution

The fourth proportional to 527,833.69, 729,012.02 and 357,772.57 is: 494,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,833.69 : 729,012.02 = 357,772.57 : x
  2. Step 2: Convert to fraction form
    527,833.69/729,012.02 = 357,772.57/x
  3. Step 3: Cross multiply
    527,833.69x = 729,012.02 × 357,772.57
  4. Step 4: Simplify right side
    527,833.69x = 260,820,500,344.90
  5. Step 5: Solve for x
    x = 260,820,500,344.90/527,833.69
  6. Step 6: Final answer
    x = 494,133.87

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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.