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Finding the Fourth Proportional to 287,685.12, 431,527.07 and 77,323.06

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Solution

The fourth proportional to 287,685.12, 431,527.07 and 77,323.06 is: 115,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,685.12 : 431,527.07 = 77,323.06 : x
  2. Step 2: Convert to fraction form
    287,685.12/431,527.07 = 77,323.06/x
  3. Step 3: Cross multiply
    287,685.12x = 431,527.07 × 77,323.06
  4. Step 4: Simplify right side
    287,685.12x = 33,366,992,253.11
  5. Step 5: Solve for x
    x = 33,366,992,253.11/287,685.12
  6. Step 6: Final answer
    x = 115,984.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.