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Finding the Fourth Proportional to 326,051.40, 489,077.10 and 200,080.20

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Solution

The fourth proportional to 326,051.40, 489,077.10 and 200,080.20 is: 300,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,051.40 : 489,077.10 = 200,080.20 : x
  2. Step 2: Convert to fraction form
    326,051.40/489,077.10 = 200,080.20/x
  3. Step 3: Cross multiply
    326,051.40x = 489,077.10 × 200,080.20
  4. Step 4: Simplify right side
    326,051.40x = 97,854,643,983.42
  5. Step 5: Solve for x
    x = 97,854,643,983.42/326,051.40
  6. Step 6: Final answer
    x = 300,120.30

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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.