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Finding the Fourth Proportional to 314,042.84, 471,053.11 and 89,404.46

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Solution

The fourth proportional to 314,042.84, 471,053.11 and 89,404.46 is: 134,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,042.84 : 471,053.11 = 89,404.46 : x
  2. Step 2: Convert to fraction form
    314,042.84/471,053.11 = 89,404.46/x
  3. Step 3: Cross multiply
    314,042.84x = 471,053.11 × 89,404.46
  4. Step 4: Simplify right side
    314,042.84x = 42,114,248,930.87
  5. Step 5: Solve for x
    x = 42,114,248,930.87/314,042.84
  6. Step 6: Final answer
    x = 134,103.52

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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.