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Finding the Fourth Proportional to 323,496.84, 485,298.06 and 101,829

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Solution

The fourth proportional to 323,496.84, 485,298.06 and 101,829 is: 152,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,496.84 : 485,298.06 = 101,829 : x
  2. Step 2: Convert to fraction form
    323,496.84/485,298.06 = 101,829/x
  3. Step 3: Cross multiply
    323,496.84x = 485,298.06 × 101,829
  4. Step 4: Simplify right side
    323,496.84x = 49,417,416,151.74
  5. Step 5: Solve for x
    x = 49,417,416,151.74/323,496.84
  6. Step 6: Final answer
    x = 152,760.12

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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.