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Finding the Fourth Proportional to 299,490.47, 413,293.69 and 163,523.98

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Solution

The fourth proportional to 299,490.47, 413,293.69 and 163,523.98 is: 225,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,490.47 : 413,293.69 = 163,523.98 : x
  2. Step 2: Convert to fraction form
    299,490.47/413,293.69 = 163,523.98/x
  3. Step 3: Cross multiply
    299,490.47x = 413,293.69 × 163,523.98
  4. Step 4: Simplify right side
    299,490.47x = 67,583,429,097.69
  5. Step 5: Solve for x
    x = 67,583,429,097.69/299,490.47
  6. Step 6: Final answer
    x = 225,661.37

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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.