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Finding the Fourth Proportional to 288,002.40, 432,464.40 and 194,920.80

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Solution

The fourth proportional to 288,002.40, 432,464.40 and 194,920.80 is: 292,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.40 : 432,464.40 = 194,920.80 : x
  2. Step 2: Convert to fraction form
    288,002.40/432,464.40 = 194,920.80/x
  3. Step 3: Cross multiply
    288,002.40x = 432,464.40 × 194,920.80
  4. Step 4: Simplify right side
    288,002.40x = 84,296,306,819.52
  5. Step 5: Solve for x
    x = 84,296,306,819.52/288,002.40
  6. Step 6: Final answer
    x = 292,693.07

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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.