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Finding the Fourth Proportional to 585,132.93, 877,732.20 and 164,376

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Solution

The fourth proportional to 585,132.93, 877,732.20 and 164,376 is: 246,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,132.93 : 877,732.20 = 164,376 : x
  2. Step 2: Convert to fraction form
    585,132.93/877,732.20 = 164,376/x
  3. Step 3: Cross multiply
    585,132.93x = 877,732.20 × 164,376
  4. Step 4: Simplify right side
    585,132.93x = 144,278,108,107.20
  5. Step 5: Solve for x
    x = 144,278,108,107.20/585,132.93
  6. Step 6: Final answer
    x = 246,573.22

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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.