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Finding the Fourth Proportional to 323,384.67, 446,275.77 and 185,585.76

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Solution

The fourth proportional to 323,384.67, 446,275.77 and 185,585.76 is: 256,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,384.67 : 446,275.77 = 185,585.76 : x
  2. Step 2: Convert to fraction form
    323,384.67/446,275.77 = 185,585.76/x
  3. Step 3: Cross multiply
    323,384.67x = 446,275.77 × 185,585.76
  4. Step 4: Simplify right side
    323,384.67x = 82,822,427,945.04
  5. Step 5: Solve for x
    x = 82,822,427,945.04/323,384.67
  6. Step 6: Final answer
    x = 256,111.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.