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Finding the Fourth Proportional to 261,574.17, 392,358.51 and 173,222.97

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Solution

The fourth proportional to 261,574.17, 392,358.51 and 173,222.97 is: 259,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,574.17 : 392,358.51 = 173,222.97 : x
  2. Step 2: Convert to fraction form
    261,574.17/392,358.51 = 173,222.97/x
  3. Step 3: Cross multiply
    261,574.17x = 392,358.51 × 173,222.97
  4. Step 4: Simplify right side
    261,574.17x = 67,965,506,406.97
  5. Step 5: Solve for x
    x = 67,965,506,406.97/261,574.17
  6. Step 6: Final answer
    x = 259,832.64

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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.