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Finding the Fourth Proportional to 585,306.32, 877,959.80 and 164,582.20

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Solution

The fourth proportional to 585,306.32, 877,959.80 and 164,582.20 is: 246,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,306.32 : 877,959.80 = 164,582.20 : x
  2. Step 2: Convert to fraction form
    585,306.32/877,959.80 = 164,582.20/x
  3. Step 3: Cross multiply
    585,306.32x = 877,959.80 × 164,582.20
  4. Step 4: Simplify right side
    585,306.32x = 144,496,555,395.56
  5. Step 5: Solve for x
    x = 144,496,555,395.56/585,306.32
  6. Step 6: Final answer
    x = 246,873.39

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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.