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Finding the Fourth Proportional to 371,498.49, 512,663.40 and 201,733.83

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Solution

The fourth proportional to 371,498.49, 512,663.40 and 201,733.83 is: 278,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,498.49 : 512,663.40 = 201,733.83 : x
  2. Step 2: Convert to fraction form
    371,498.49/512,663.40 = 201,733.83/x
  3. Step 3: Cross multiply
    371,498.49x = 512,663.40 × 201,733.83
  4. Step 4: Simplify right side
    371,498.49x = 103,421,551,182.82
  5. Step 5: Solve for x
    x = 103,421,551,182.82/371,498.49
  6. Step 6: Final answer
    x = 278,390.23

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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.