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Finding the Fourth Proportional to 307,248.38, 423,762.40 and 199,852.71

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Solution

The fourth proportional to 307,248.38, 423,762.40 and 199,852.71 is: 275,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,248.38 : 423,762.40 = 199,852.71 : x
  2. Step 2: Convert to fraction form
    307,248.38/423,762.40 = 199,852.71/x
  3. Step 3: Cross multiply
    307,248.38x = 423,762.40 × 199,852.71
  4. Step 4: Simplify right side
    307,248.38x = 84,690,064,036.10
  5. Step 5: Solve for x
    x = 84,690,064,036.10/307,248.38
  6. Step 6: Final answer
    x = 275,640.39

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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.