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Finding the Fourth Proportional to 299,686.98, 413,576.07 and 163,726.65

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Solution

The fourth proportional to 299,686.98, 413,576.07 and 163,726.65 is: 225,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,686.98 : 413,576.07 = 163,726.65 : x
  2. Step 2: Convert to fraction form
    299,686.98/413,576.07 = 163,726.65/x
  3. Step 3: Cross multiply
    299,686.98x = 413,576.07 × 163,726.65
  4. Step 4: Simplify right side
    299,686.98x = 67,713,424,461.27
  5. Step 5: Solve for x
    x = 67,713,424,461.27/299,686.98
  6. Step 6: Final answer
    x = 225,947.17

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1.5x scale

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.