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Finding the Fourth Proportional to 469,422.14, 704,174.67 and 132,465.74

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Solution

The fourth proportional to 469,422.14, 704,174.67 and 132,465.74 is: 198,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,422.14 : 704,174.67 = 132,465.74 : x
  2. Step 2: Convert to fraction form
    469,422.14/704,174.67 = 132,465.74/x
  3. Step 3: Cross multiply
    469,422.14x = 704,174.67 × 132,465.74
  4. Step 4: Simplify right side
    469,422.14x = 93,279,018,750.81
  5. Step 5: Solve for x
    x = 93,279,018,750.81/469,422.14
  6. Step 6: Final answer
    x = 198,710.31

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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.