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Finding the Fourth Proportional to 288,001.65, 432,002.48 and 256,508.85

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Solution

The fourth proportional to 288,001.65, 432,002.48 and 256,508.85 is: 384,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.65 : 432,002.48 = 256,508.85 : x
  2. Step 2: Convert to fraction form
    288,001.65/432,002.48 = 256,508.85/x
  3. Step 3: Cross multiply
    288,001.65x = 432,002.48 × 256,508.85
  4. Step 4: Simplify right side
    288,001.65x = 110,812,458,059.40
  5. Step 5: Solve for x
    x = 110,812,458,059.40/288,001.65
  6. Step 6: Final answer
    x = 384,763.28

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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.