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Finding the Fourth Proportional to 401,264.97, 601,899.75 and 101,746.14

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Solution

The fourth proportional to 401,264.97, 601,899.75 and 101,746.14 is: 152,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,264.97 : 601,899.75 = 101,746.14 : x
  2. Step 2: Convert to fraction form
    401,264.97/601,899.75 = 101,746.14/x
  3. Step 3: Cross multiply
    401,264.97x = 601,899.75 × 101,746.14
  4. Step 4: Simplify right side
    401,264.97x = 61,240,976,229.47
  5. Step 5: Solve for x
    x = 61,240,976,229.47/401,264.97
  6. Step 6: Final answer
    x = 152,619.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.