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Finding the Fourth Proportional to 299,434.40, 413,218.51 and 163,470.03

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Solution

The fourth proportional to 299,434.40, 413,218.51 and 163,470.03 is: 225,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,434.40 : 413,218.51 = 163,470.03 : x
  2. Step 2: Convert to fraction form
    299,434.40/413,218.51 = 163,470.03/x
  3. Step 3: Cross multiply
    299,434.40x = 413,218.51 × 163,470.03
  4. Step 4: Simplify right side
    299,434.40x = 67,548,841,817.58
  5. Step 5: Solve for x
    x = 67,548,841,817.58/299,434.40
  6. Step 6: Final answer
    x = 225,588.11

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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.