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Finding the Fourth Proportional to 349,134, 523,731.38 and 96,414.81

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Solution

The fourth proportional to 349,134, 523,731.38 and 96,414.81 is: 144,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,134 : 523,731.38 = 96,414.81 : x
  2. Step 2: Convert to fraction form
    349,134/523,731.38 = 96,414.81/x
  3. Step 3: Cross multiply
    349,134x = 523,731.38 × 96,414.81
  4. Step 4: Simplify right side
    349,134x = 50,495,461,493.74
  5. Step 5: Solve for x
    x = 50,495,461,493.74/349,134
  6. Step 6: Final answer
    x = 144,630.60

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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.