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Finding the Fourth Proportional to 542,870.80, 814,306.20 and 402,902.80

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Solution

The fourth proportional to 542,870.80, 814,306.20 and 402,902.80 is: 604,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,870.80 : 814,306.20 = 402,902.80 : x
  2. Step 2: Convert to fraction form
    542,870.80/814,306.20 = 402,902.80/x
  3. Step 3: Cross multiply
    542,870.80x = 814,306.20 × 402,902.80
  4. Step 4: Simplify right side
    542,870.80x = 328,086,248,037.36
  5. Step 5: Solve for x
    x = 328,086,248,037.36/542,870.80
  6. Step 6: Final answer
    x = 604,354.20

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Similar ratio
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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.