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Finding the Fourth Proportional to 415,802.80, 623,704.20 and 135,348.40

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Solution

The fourth proportional to 415,802.80, 623,704.20 and 135,348.40 is: 203,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,802.80 : 623,704.20 = 135,348.40 : x
  2. Step 2: Convert to fraction form
    415,802.80/623,704.20 = 135,348.40/x
  3. Step 3: Cross multiply
    415,802.80x = 623,704.20 × 135,348.40
  4. Step 4: Simplify right side
    415,802.80x = 84,417,365,543.28
  5. Step 5: Solve for x
    x = 84,417,365,543.28/415,802.80
  6. Step 6: Final answer
    x = 203,022.60

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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.