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Finding the Fourth Proportional to 402,023.10, 603,034.65 and 213,066.30

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Solution

The fourth proportional to 402,023.10, 603,034.65 and 213,066.30 is: 319,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,023.10 : 603,034.65 = 213,066.30 : x
  2. Step 2: Convert to fraction form
    402,023.10/603,034.65 = 213,066.30/x
  3. Step 3: Cross multiply
    402,023.10x = 603,034.65 × 213,066.30
  4. Step 4: Simplify right side
    402,023.10x = 128,486,361,647.30
  5. Step 5: Solve for x
    x = 128,486,361,647.30/402,023.10
  6. Step 6: Final answer
    x = 319,599.45

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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.