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Finding the Fourth Proportional to 287,546.20, 431,319.30 and 77,205.40

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Solution

The fourth proportional to 287,546.20, 431,319.30 and 77,205.40 is: 115,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,546.20 : 431,319.30 = 77,205.40 : x
  2. Step 2: Convert to fraction form
    287,546.20/431,319.30 = 77,205.40/x
  3. Step 3: Cross multiply
    287,546.20x = 431,319.30 × 77,205.40
  4. Step 4: Simplify right side
    287,546.20x = 33,300,179,084.22
  5. Step 5: Solve for x
    x = 33,300,179,084.22/287,546.20
  6. Step 6: Final answer
    x = 115,808.10

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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.