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Finding the Fourth Proportional to 299,281.02, 413,016.57 and 163,323.72

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Solution

The fourth proportional to 299,281.02, 413,016.57 and 163,323.72 is: 225,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,281.02 : 413,016.57 = 163,323.72 : x
  2. Step 2: Convert to fraction form
    299,281.02/413,016.57 = 163,323.72/x
  3. Step 3: Cross multiply
    299,281.02x = 413,016.57 × 163,323.72
  4. Step 4: Simplify right side
    299,281.02x = 67,455,402,634.04
  5. Step 5: Solve for x
    x = 67,455,402,634.04/299,281.02
  6. Step 6: Final answer
    x = 225,391.52

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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.