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Finding the Fourth Proportional to 330,177.60, 495,266.40 and 172,454.40

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Solution

The fourth proportional to 330,177.60, 495,266.40 and 172,454.40 is: 258,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,177.60 : 495,266.40 = 172,454.40 : x
  2. Step 2: Convert to fraction form
    330,177.60/495,266.40 = 172,454.40/x
  3. Step 3: Cross multiply
    330,177.60x = 495,266.40 × 172,454.40
  4. Step 4: Simplify right side
    330,177.60x = 85,410,869,852.16
  5. Step 5: Solve for x
    x = 85,410,869,852.16/330,177.60
  6. Step 6: Final answer
    x = 258,681.60

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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.