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Finding the Fourth Proportional to 288,713.92, 433,053.60 and 78,347.20

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Solution

The fourth proportional to 288,713.92, 433,053.60 and 78,347.20 is: 117,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,713.92 : 433,053.60 = 78,347.20 : x
  2. Step 2: Convert to fraction form
    288,713.92/433,053.60 = 78,347.20/x
  3. Step 3: Cross multiply
    288,713.92x = 433,053.60 × 78,347.20
  4. Step 4: Simplify right side
    288,713.92x = 33,928,537,009.92
  5. Step 5: Solve for x
    x = 33,928,537,009.92/288,713.92
  6. Step 6: Final answer
    x = 117,516.11

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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.