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Finding the Fourth Proportional to 585,767.53, 877,648.20 and 319,714.75

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Solution

The fourth proportional to 585,767.53, 877,648.20 and 319,714.75 is: 479,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,767.53 : 877,648.20 = 319,714.75 : x
  2. Step 2: Convert to fraction form
    585,767.53/877,648.20 = 319,714.75/x
  3. Step 3: Cross multiply
    585,767.53x = 877,648.20 × 319,714.75
  4. Step 4: Simplify right side
    585,767.53x = 280,597,074,850.95
  5. Step 5: Solve for x
    x = 280,597,074,850.95/585,767.53
  6. Step 6: Final answer
    x = 479,024.63

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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.