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Finding the Fourth Proportional to 299,442.21, 413,223.55 and 163,470.88

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Solution

The fourth proportional to 299,442.21, 413,223.55 and 163,470.88 is: 225,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,442.21 : 413,223.55 = 163,470.88 : x
  2. Step 2: Convert to fraction form
    299,442.21/413,223.55 = 163,470.88/x
  3. Step 3: Cross multiply
    299,442.21x = 413,223.55 × 163,470.88
  4. Step 4: Simplify right side
    299,442.21x = 67,550,017,355.22
  5. Step 5: Solve for x
    x = 67,550,017,355.22/299,442.21
  6. Step 6: Final answer
    x = 225,586.16

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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.