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Finding the Fourth Proportional to 402,730.20, 604,181.70 and 122,275.80

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Solution

The fourth proportional to 402,730.20, 604,181.70 and 122,275.80 is: 183,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,730.20 : 604,181.70 = 122,275.80 : x
  2. Step 2: Convert to fraction form
    402,730.20/604,181.70 = 122,275.80/x
  3. Step 3: Cross multiply
    402,730.20x = 604,181.70 × 122,275.80
  4. Step 4: Simplify right side
    402,730.20x = 73,876,800,712.86
  5. Step 5: Solve for x
    x = 73,876,800,712.86/402,730.20
  6. Step 6: Final answer
    x = 183,439.93

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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.