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Finding the Fourth Proportional to 585,008.30, 877,512.45 and 164,297.90

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Solution

The fourth proportional to 585,008.30, 877,512.45 and 164,297.90 is: 246,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,008.30 : 877,512.45 = 164,297.90 : x
  2. Step 2: Convert to fraction form
    585,008.30/877,512.45 = 164,297.90/x
  3. Step 3: Cross multiply
    585,008.30x = 877,512.45 × 164,297.90
  4. Step 4: Simplify right side
    585,008.30x = 144,173,452,758.86
  5. Step 5: Solve for x
    x = 144,173,452,758.86/585,008.30
  6. Step 6: Final answer
    x = 246,446.85

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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.