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Finding the Fourth Proportional to 584,223.10, 876,334.65 and 331,405.90

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Solution

The fourth proportional to 584,223.10, 876,334.65 and 331,405.90 is: 497,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,223.10 : 876,334.65 = 331,405.90 : x
  2. Step 2: Convert to fraction form
    584,223.10/876,334.65 = 331,405.90/x
  3. Step 3: Cross multiply
    584,223.10x = 876,334.65 × 331,405.90
  4. Step 4: Simplify right side
    584,223.10x = 290,422,473,384.44
  5. Step 5: Solve for x
    x = 290,422,473,384.44/584,223.10
  6. Step 6: Final answer
    x = 497,108.85

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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.