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Finding the Fourth Proportional to 520,023.80, 780,254.40 and 283,536.20

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Solution

The fourth proportional to 520,023.80, 780,254.40 and 283,536.20 is: 425,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,023.80 : 780,254.40 = 283,536.20 : x
  2. Step 2: Convert to fraction form
    520,023.80/780,254.40 = 283,536.20/x
  3. Step 3: Cross multiply
    520,023.80x = 780,254.40 × 283,536.20
  4. Step 4: Simplify right side
    520,023.80x = 221,230,367,609.28
  5. Step 5: Solve for x
    x = 221,230,367,609.28/520,023.80
  6. Step 6: Final answer
    x = 425,423.54

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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.