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Finding the Fourth Proportional to 400,815.49, 553,125.92 and 217,054.38

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Solution

The fourth proportional to 400,815.49, 553,125.92 and 217,054.38 is: 299,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,815.49 : 553,125.92 = 217,054.38 : x
  2. Step 2: Convert to fraction form
    400,815.49/553,125.92 = 217,054.38/x
  3. Step 3: Cross multiply
    400,815.49x = 553,125.92 × 217,054.38
  4. Step 4: Simplify right side
    400,815.49x = 120,058,402,542.26
  5. Step 5: Solve for x
    x = 120,058,402,542.26/400,815.49
  6. Step 6: Final answer
    x = 299,535.34

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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.