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Finding the Fourth Proportional to 288,164.34, 432,280.98 and 88,458.48

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Solution

The fourth proportional to 288,164.34, 432,280.98 and 88,458.48 is: 132,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,164.34 : 432,280.98 = 88,458.48 : x
  2. Step 2: Convert to fraction form
    288,164.34/432,280.98 = 88,458.48/x
  3. Step 3: Cross multiply
    288,164.34x = 432,280.98 × 88,458.48
  4. Step 4: Simplify right side
    288,164.34x = 38,238,918,423.71
  5. Step 5: Solve for x
    x = 38,238,918,423.71/288,164.34
  6. Step 6: Final answer
    x = 132,698.30

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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.