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Finding the Fourth Proportional to 431,164.30, 602,842.70 and 431,164.30

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Solution

The fourth proportional to 431,164.30, 602,842.70 and 431,164.30 is: 602,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,164.30 : 602,842.70 = 431,164.30 : x
  2. Step 2: Convert to fraction form
    431,164.30/602,842.70 = 431,164.30/x
  3. Step 3: Cross multiply
    431,164.30x = 602,842.70 × 431,164.30
  4. Step 4: Simplify right side
    431,164.30x = 259,924,250,755.61
  5. Step 5: Solve for x
    x = 259,924,250,755.61/431,164.30
  6. Step 6: Final answer
    x = 602,842.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.