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Finding the Fourth Proportional to 363,448.49, 501,547.75 and 202,299.40

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Solution

The fourth proportional to 363,448.49, 501,547.75 and 202,299.40 is: 279,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,448.49 : 501,547.75 = 202,299.40 : x
  2. Step 2: Convert to fraction form
    363,448.49/501,547.75 = 202,299.40/x
  3. Step 3: Cross multiply
    363,448.49x = 501,547.75 × 202,299.40
  4. Step 4: Simplify right side
    363,448.49x = 101,462,806,388.61
  5. Step 5: Solve for x
    x = 101,462,806,388.61/363,448.49
  6. Step 6: Final answer
    x = 279,166.95

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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.