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Finding the Fourth Proportional to 402,442.20, 604,829.70 and 351,120.60

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Solution

The fourth proportional to 402,442.20, 604,829.70 and 351,120.60 is: 527,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,442.20 : 604,829.70 = 351,120.60 : x
  2. Step 2: Convert to fraction form
    402,442.20/604,829.70 = 351,120.60/x
  3. Step 3: Cross multiply
    402,442.20x = 604,829.70 × 351,120.60
  4. Step 4: Simplify right side
    402,442.20x = 212,368,167,161.82
  5. Step 5: Solve for x
    x = 212,368,167,161.82/402,442.20
  6. Step 6: Final answer
    x = 527,698.55

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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.