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Finding the Fourth Proportional to 469,497.61, 704,233.86 and 132,561.37

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Solution

The fourth proportional to 469,497.61, 704,233.86 and 132,561.37 is: 198,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,497.61 : 704,233.86 = 132,561.37 : x
  2. Step 2: Convert to fraction form
    469,497.61/704,233.86 = 132,561.37/x
  3. Step 3: Cross multiply
    469,497.61x = 704,233.86 × 132,561.37
  4. Step 4: Simplify right side
    469,497.61x = 93,354,205,281.99
  5. Step 5: Solve for x
    x = 93,354,205,281.99/469,497.61
  6. Step 6: Final answer
    x = 198,838.51

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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.