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Finding the Fourth Proportional to 288,706.46, 433,031.82 and 88,973.22

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Solution

The fourth proportional to 288,706.46, 433,031.82 and 88,973.22 is: 133,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,706.46 : 433,031.82 = 88,973.22 : x
  2. Step 2: Convert to fraction form
    288,706.46/433,031.82 = 88,973.22/x
  3. Step 3: Cross multiply
    288,706.46x = 433,031.82 × 88,973.22
  4. Step 4: Simplify right side
    288,706.46x = 38,528,235,387.86
  5. Step 5: Solve for x
    x = 38,528,235,387.86/288,706.46
  6. Step 6: Final answer
    x = 133,451.24

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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.