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Finding the Fourth Proportional to 584,564.60, 876,872.40 and 185,234.78

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Solution

The fourth proportional to 584,564.60, 876,872.40 and 185,234.78 is: 277,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,564.60 : 876,872.40 = 185,234.78 : x
  2. Step 2: Convert to fraction form
    584,564.60/876,872.40 = 185,234.78/x
  3. Step 3: Cross multiply
    584,564.60x = 876,872.40 × 185,234.78
  4. Step 4: Simplify right side
    584,564.60x = 162,427,266,102.07
  5. Step 5: Solve for x
    x = 162,427,266,102.07/584,564.60
  6. Step 6: Final answer
    x = 277,860.25

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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.