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Finding the Fourth Proportional to 299,304.08, 413,036.10 and 163,340.34

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Solution

The fourth proportional to 299,304.08, 413,036.10 and 163,340.34 is: 225,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,304.08 : 413,036.10 = 163,340.34 : x
  2. Step 2: Convert to fraction form
    299,304.08/413,036.10 = 163,340.34/x
  3. Step 3: Cross multiply
    299,304.08x = 413,036.10 × 163,340.34
  4. Step 4: Simplify right side
    299,304.08x = 67,465,457,006.27
  5. Step 5: Solve for x
    x = 67,465,457,006.27/299,304.08
  6. Step 6: Final answer
    x = 225,407.74

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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.