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Finding the Fourth Proportional to 288,663.04, 433,048.32 and 101,793.28

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Solution

The fourth proportional to 288,663.04, 433,048.32 and 101,793.28 is: 152,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,663.04 : 433,048.32 = 101,793.28 : x
  2. Step 2: Convert to fraction form
    288,663.04/433,048.32 = 101,793.28/x
  3. Step 3: Cross multiply
    288,663.04x = 433,048.32 × 101,793.28
  4. Step 4: Simplify right side
    288,663.04x = 44,081,408,891.29
  5. Step 5: Solve for x
    x = 44,081,408,891.29/288,663.04
  6. Step 6: Final answer
    x = 152,708.88

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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.