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Finding the Fourth Proportional to 584,691.92, 877,068.84 and 185,363.84

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Solution

The fourth proportional to 584,691.92, 877,068.84 and 185,363.84 is: 278,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,691.92 : 877,068.84 = 185,363.84 : x
  2. Step 2: Convert to fraction form
    584,691.92/877,068.84 = 185,363.84/x
  3. Step 3: Cross multiply
    584,691.92x = 877,068.84 × 185,363.84
  4. Step 4: Simplify right side
    584,691.92x = 162,576,848,126.75
  5. Step 5: Solve for x
    x = 162,576,848,126.75/584,691.92
  6. Step 6: Final answer
    x = 278,055.58

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Why These Related Problems?

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