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Finding the Fourth Proportional to 402,908.80, 604,363.20 and 166,172.80

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Solution

The fourth proportional to 402,908.80, 604,363.20 and 166,172.80 is: 249,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,908.80 : 604,363.20 = 166,172.80 : x
  2. Step 2: Convert to fraction form
    402,908.80/604,363.20 = 166,172.80/x
  3. Step 3: Cross multiply
    402,908.80x = 604,363.20 × 166,172.80
  4. Step 4: Simplify right side
    402,908.80x = 100,428,725,160.96
  5. Step 5: Solve for x
    x = 100,428,725,160.96/402,908.80
  6. Step 6: Final answer
    x = 249,259.20

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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.