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Finding the Fourth Proportional to 584,633.57, 876,974.75 and 185,265.50

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Solution

The fourth proportional to 584,633.57, 876,974.75 and 185,265.50 is: 277,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,633.57 : 876,974.75 = 185,265.50 : x
  2. Step 2: Convert to fraction form
    584,633.57/876,974.75 = 185,265.50/x
  3. Step 3: Cross multiply
    584,633.57x = 876,974.75 × 185,265.50
  4. Step 4: Simplify right side
    584,633.57x = 162,473,165,546.13
  5. Step 5: Solve for x
    x = 162,473,165,546.13/584,633.57
  6. Step 6: Final answer
    x = 277,905.98

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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.