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Finding the Fourth Proportional to 402,887.52, 604,244.88 and 166,168.80

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Solution

The fourth proportional to 402,887.52, 604,244.88 and 166,168.80 is: 249,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,887.52 : 604,244.88 = 166,168.80 : x
  2. Step 2: Convert to fraction form
    402,887.52/604,244.88 = 166,168.80/x
  3. Step 3: Cross multiply
    402,887.52x = 604,244.88 × 166,168.80
  4. Step 4: Simplify right side
    402,887.52x = 100,406,646,615.74
  5. Step 5: Solve for x
    x = 100,406,646,615.74/402,887.52
  6. Step 6: Final answer
    x = 249,217.56

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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.