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Finding the Fourth Proportional to 299,304.49, 413,042.61 and 163,339.51

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Solution

The fourth proportional to 299,304.49, 413,042.61 and 163,339.51 is: 225,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,304.49 : 413,042.61 = 163,339.51 : x
  2. Step 2: Convert to fraction form
    299,304.49/413,042.61 = 163,339.51/x
  3. Step 3: Cross multiply
    299,304.49x = 413,042.61 × 163,339.51
  4. Step 4: Simplify right side
    299,304.49x = 67,466,177,526.52
  5. Step 5: Solve for x
    x = 67,466,177,526.52/299,304.49
  6. Step 6: Final answer
    x = 225,409.84

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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.