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Finding the Fourth Proportional to 584,525.96, 876,715.02 and 185,207.24

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Solution

The fourth proportional to 584,525.96, 876,715.02 and 185,207.24 is: 277,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,525.96 : 876,715.02 = 185,207.24 : x
  2. Step 2: Convert to fraction form
    584,525.96/876,715.02 = 185,207.24/x
  3. Step 3: Cross multiply
    584,525.96x = 876,715.02 × 185,207.24
  4. Step 4: Simplify right side
    584,525.96x = 162,373,969,120.75
  5. Step 5: Solve for x
    x = 162,373,969,120.75/584,525.96
  6. Step 6: Final answer
    x = 277,787.44

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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.