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Finding the Fourth Proportional to 431,909.07, 595,713.19 and 317,151.69

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Solution

The fourth proportional to 431,909.07, 595,713.19 and 317,151.69 is: 437,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,909.07 : 595,713.19 = 317,151.69 : x
  2. Step 2: Convert to fraction form
    431,909.07/595,713.19 = 317,151.69/x
  3. Step 3: Cross multiply
    431,909.07x = 595,713.19 × 317,151.69
  4. Step 4: Simplify right side
    431,909.07x = 188,931,444,963.79
  5. Step 5: Solve for x
    x = 188,931,444,963.79/431,909.07
  6. Step 6: Final answer
    x = 437,433.38

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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.