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Finding the Fourth Proportional to 469,953.18, 704,957.18 and 132,965.64

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Solution

The fourth proportional to 469,953.18, 704,957.18 and 132,965.64 is: 199,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,953.18 : 704,957.18 = 132,965.64 : x
  2. Step 2: Convert to fraction form
    469,953.18/704,957.18 = 132,965.64/x
  3. Step 3: Cross multiply
    469,953.18x = 704,957.18 × 132,965.64
  4. Step 4: Simplify right side
    469,953.18x = 93,735,082,943.71
  5. Step 5: Solve for x
    x = 93,735,082,943.71/469,953.18
  6. Step 6: Final answer
    x = 199,456.22

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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.