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Finding the Fourth Proportional to 402,493.60, 604,129.20 and 245,029.60

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Solution

The fourth proportional to 402,493.60, 604,129.20 and 245,029.60 is: 367,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,493.60 : 604,129.20 = 245,029.60 : x
  2. Step 2: Convert to fraction form
    402,493.60/604,129.20 = 245,029.60/x
  3. Step 3: Cross multiply
    402,493.60x = 604,129.20 × 245,029.60
  4. Step 4: Simplify right side
    402,493.60x = 148,029,536,224.32
  5. Step 5: Solve for x
    x = 148,029,536,224.32/402,493.60
  6. Step 6: Final answer
    x = 367,781.09

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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.