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Finding the Fourth Proportional to 542,823.80, 814,235.70 and 401,106.20

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Solution

The fourth proportional to 542,823.80, 814,235.70 and 401,106.20 is: 601,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,823.80 : 814,235.70 = 401,106.20 : x
  2. Step 2: Convert to fraction form
    542,823.80/814,235.70 = 401,106.20/x
  3. Step 3: Cross multiply
    542,823.80x = 814,235.70 × 401,106.20
  4. Step 4: Simplify right side
    542,823.80x = 326,594,987,531.34
  5. Step 5: Solve for x
    x = 326,594,987,531.34/542,823.80
  6. Step 6: Final answer
    x = 601,659.30

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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.