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Finding the Fourth Proportional to 299,441.52, 413,223.12 and 163,478.16

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Solution

The fourth proportional to 299,441.52, 413,223.12 and 163,478.16 is: 225,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,441.52 : 413,223.12 = 163,478.16 : x
  2. Step 2: Convert to fraction form
    299,441.52/413,223.12 = 163,478.16/x
  3. Step 3: Cross multiply
    299,441.52x = 413,223.12 × 163,478.16
  4. Step 4: Simplify right side
    299,441.52x = 67,552,955,327.06
  5. Step 5: Solve for x
    x = 67,552,955,327.06/299,441.52
  6. Step 6: Final answer
    x = 225,596.49

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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.