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Finding the Fourth Proportional to 431,962.42, 596,034.32 and 250,632.78

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Solution

The fourth proportional to 431,962.42, 596,034.32 and 250,632.78 is: 345,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,962.42 : 596,034.32 = 250,632.78 : x
  2. Step 2: Convert to fraction form
    431,962.42/596,034.32 = 250,632.78/x
  3. Step 3: Cross multiply
    431,962.42x = 596,034.32 × 250,632.78
  4. Step 4: Simplify right side
    431,962.42x = 149,385,737,343.85
  5. Step 5: Solve for x
    x = 149,385,737,343.85/431,962.42
  6. Step 6: Final answer
    x = 345,830.40

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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.