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Finding the Fourth Proportional to 323,547.41, 446,309.82 and 202,478.45

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Solution

The fourth proportional to 323,547.41, 446,309.82 and 202,478.45 is: 279,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,547.41 : 446,309.82 = 202,478.45 : x
  2. Step 2: Convert to fraction form
    323,547.41/446,309.82 = 202,478.45/x
  3. Step 3: Cross multiply
    323,547.41x = 446,309.82 × 202,478.45
  4. Step 4: Simplify right side
    323,547.41x = 90,368,120,573.38
  5. Step 5: Solve for x
    x = 90,368,120,573.38/323,547.41
  6. Step 6: Final answer
    x = 279,304.11

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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.