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Finding the Fourth Proportional to 527,969.41, 729,199.19 and 357,908.29

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Solution

The fourth proportional to 527,969.41, 729,199.19 and 357,908.29 is: 494,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,969.41 : 729,199.19 = 357,908.29 : x
  2. Step 2: Convert to fraction form
    527,969.41/729,199.19 = 357,908.29/x
  3. Step 3: Cross multiply
    527,969.41x = 729,199.19 × 357,908.29
  4. Step 4: Simplify right side
    527,969.41x = 260,986,435,162.29
  5. Step 5: Solve for x
    x = 260,986,435,162.29/527,969.41
  6. Step 6: Final answer
    x = 494,321.13

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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.