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Finding the Fourth Proportional to 585,121.20, 807,462.64 and 316,849.20

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Solution

The fourth proportional to 585,121.20, 807,462.64 and 316,849.20 is: 437,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,121.20 : 807,462.64 = 316,849.20 : x
  2. Step 2: Convert to fraction form
    585,121.20/807,462.64 = 316,849.20/x
  3. Step 3: Cross multiply
    585,121.20x = 807,462.64 × 316,849.20
  4. Step 4: Simplify right side
    585,121.20x = 255,843,891,513.89
  5. Step 5: Solve for x
    x = 255,843,891,513.89/585,121.20
  6. Step 6: Final answer
    x = 437,249.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.