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Finding the Fourth Proportional to 403,103.20, 604,654.80 and 146,955

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Solution

The fourth proportional to 403,103.20, 604,654.80 and 146,955 is: 220,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,103.20 : 604,654.80 = 146,955 : x
  2. Step 2: Convert to fraction form
    403,103.20/604,654.80 = 146,955/x
  3. Step 3: Cross multiply
    403,103.20x = 604,654.80 × 146,955
  4. Step 4: Simplify right side
    403,103.20x = 88,857,046,134
  5. Step 5: Solve for x
    x = 88,857,046,134/403,103.20
  6. Step 6: Final answer
    x = 220,432.50

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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.