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Finding the Fourth Proportional to 402,962.60, 604,271.10 and 203,205.80

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Solution

The fourth proportional to 402,962.60, 604,271.10 and 203,205.80 is: 304,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,962.60 : 604,271.10 = 203,205.80 : x
  2. Step 2: Convert to fraction form
    402,962.60/604,271.10 = 203,205.80/x
  3. Step 3: Cross multiply
    402,962.60x = 604,271.10 × 203,205.80
  4. Step 4: Simplify right side
    402,962.60x = 122,791,392,292.38
  5. Step 5: Solve for x
    x = 122,791,392,292.38/402,962.60
  6. Step 6: Final answer
    x = 304,721.56

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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.