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Finding the Fourth Proportional to 402,920.80, 604,381.20 and 166,184.80

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Solution

The fourth proportional to 402,920.80, 604,381.20 and 166,184.80 is: 249,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,920.80 : 604,381.20 = 166,184.80 : x
  2. Step 2: Convert to fraction form
    402,920.80/604,381.20 = 166,184.80/x
  3. Step 3: Cross multiply
    402,920.80x = 604,381.20 × 166,184.80
  4. Step 4: Simplify right side
    402,920.80x = 100,438,968,845.76
  5. Step 5: Solve for x
    x = 100,438,968,845.76/402,920.80
  6. Step 6: Final answer
    x = 249,277.20

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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.