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Finding the Fourth Proportional to 301,691.38, 452,592.60 and 99,298.84

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Solution

The fourth proportional to 301,691.38, 452,592.60 and 99,298.84 is: 148,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,691.38 : 452,592.60 = 99,298.84 : x
  2. Step 2: Convert to fraction form
    301,691.38/452,592.60 = 99,298.84/x
  3. Step 3: Cross multiply
    301,691.38x = 452,592.60 × 99,298.84
  4. Step 4: Simplify right side
    301,691.38x = 44,941,920,172.58
  5. Step 5: Solve for x
    x = 44,941,920,172.58/301,691.38
  6. Step 6: Final answer
    x = 148,966.54

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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.