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Finding the Fourth Proportional to 542,976.80, 814,270.08 and 187,894.40

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Solution

The fourth proportional to 542,976.80, 814,270.08 and 187,894.40 is: 281,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,976.80 : 814,270.08 = 187,894.40 : x
  2. Step 2: Convert to fraction form
    542,976.80/814,270.08 = 187,894.40/x
  3. Step 3: Cross multiply
    542,976.80x = 814,270.08 × 187,894.40
  4. Step 4: Simplify right side
    542,976.80x = 152,996,788,119.55
  5. Step 5: Solve for x
    x = 152,996,788,119.55/542,976.80
  6. Step 6: Final answer
    x = 281,774.08

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1.5x scale

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.