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Finding the Fourth Proportional to 402,941.60, 604,561.20 and 166,304.80

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Solution

The fourth proportional to 402,941.60, 604,561.20 and 166,304.80 is: 249,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,941.60 : 604,561.20 = 166,304.80 : x
  2. Step 2: Convert to fraction form
    402,941.60/604,561.20 = 166,304.80/x
  3. Step 3: Cross multiply
    402,941.60x = 604,561.20 × 166,304.80
  4. Step 4: Simplify right side
    402,941.60x = 100,541,429,453.76
  5. Step 5: Solve for x
    x = 100,541,429,453.76/402,941.60
  6. Step 6: Final answer
    x = 249,518.61

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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.