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Finding the Fourth Proportional to 288,002.70, 432,004.05 and 193,524.30

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Solution

The fourth proportional to 288,002.70, 432,004.05 and 193,524.30 is: 290,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.70 : 432,004.05 = 193,524.30 : x
  2. Step 2: Convert to fraction form
    288,002.70/432,004.05 = 193,524.30/x
  3. Step 3: Cross multiply
    288,002.70x = 432,004.05 × 193,524.30
  4. Step 4: Simplify right side
    288,002.70x = 83,603,281,373.42
  5. Step 5: Solve for x
    x = 83,603,281,373.42/288,002.70
  6. Step 6: Final answer
    x = 290,286.45

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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.