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Finding the Fourth Proportional to 288,002.70, 432,004.05 and 256,898.70

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Solution

The fourth proportional to 288,002.70, 432,004.05 and 256,898.70 is: 385,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.70 : 432,004.05 = 256,898.70 : x
  2. Step 2: Convert to fraction form
    288,002.70/432,004.05 = 256,898.70/x
  3. Step 3: Cross multiply
    288,002.70x = 432,004.05 × 256,898.70
  4. Step 4: Simplify right side
    288,002.70x = 110,981,278,839.74
  5. Step 5: Solve for x
    x = 110,981,278,839.74/288,002.70
  6. Step 6: Final answer
    x = 385,348.05

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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.