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Finding the Fourth Proportional to 584,755.74, 876,427.20 and 284,786.82

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Solution

The fourth proportional to 584,755.74, 876,427.20 and 284,786.82 is: 426,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,755.74 : 876,427.20 = 284,786.82 : x
  2. Step 2: Convert to fraction form
    584,755.74/876,427.20 = 284,786.82/x
  3. Step 3: Cross multiply
    584,755.74x = 876,427.20 × 284,786.82
  4. Step 4: Simplify right side
    584,755.74x = 249,594,915,249.50
  5. Step 5: Solve for x
    x = 249,594,915,249.50/584,755.74
  6. Step 6: Final answer
    x = 426,836.20

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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.