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Finding the Fourth Proportional to 585,127.68, 877,724.33 and 164,370.75

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Solution

The fourth proportional to 585,127.68, 877,724.33 and 164,370.75 is: 246,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,127.68 : 877,724.33 = 164,370.75 : x
  2. Step 2: Convert to fraction form
    585,127.68/877,724.33 = 164,370.75/x
  3. Step 3: Cross multiply
    585,127.68x = 877,724.33 × 164,370.75
  4. Step 4: Simplify right side
    585,127.68x = 144,272,205,593.49
  5. Step 5: Solve for x
    x = 144,272,205,593.49/585,127.68
  6. Step 6: Final answer
    x = 246,565.34

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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.