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Finding the Fourth Proportional to 402,031.80, 603,047.70 and 192,079.80

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Solution

The fourth proportional to 402,031.80, 603,047.70 and 192,079.80 is: 288,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,031.80 : 603,047.70 = 192,079.80 : x
  2. Step 2: Convert to fraction form
    402,031.80/603,047.70 = 192,079.80/x
  3. Step 3: Cross multiply
    402,031.80x = 603,047.70 × 192,079.80
  4. Step 4: Simplify right side
    402,031.80x = 115,833,281,606.46
  5. Step 5: Solve for x
    x = 115,833,281,606.46/402,031.80
  6. Step 6: Final answer
    x = 288,119.70

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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.