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Finding the Fourth Proportional to 312,531.26, 431,267.54 and 176,577

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Solution

The fourth proportional to 312,531.26, 431,267.54 and 176,577 is: 243,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,531.26 : 431,267.54 = 176,577 : x
  2. Step 2: Convert to fraction form
    312,531.26/431,267.54 = 176,577/x
  3. Step 3: Cross multiply
    312,531.26x = 431,267.54 × 176,577
  4. Step 4: Simplify right side
    312,531.26x = 76,151,927,527.70
  5. Step 5: Solve for x
    x = 76,151,927,527.70/312,531.26
  6. Step 6: Final answer
    x = 243,661.80

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