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Finding the Fourth Proportional to 299,503.92, 413,312.20 and 163,537.48

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Solution

The fourth proportional to 299,503.92, 413,312.20 and 163,537.48 is: 225,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,503.92 : 413,312.20 = 163,537.48 : x
  2. Step 2: Convert to fraction form
    299,503.92/413,312.20 = 163,537.48/x
  3. Step 3: Cross multiply
    299,503.92x = 413,312.20 × 163,537.48
  4. Step 4: Simplify right side
    299,503.92x = 67,592,035,641.26
  5. Step 5: Solve for x
    x = 67,592,035,641.26/299,503.92
  6. Step 6: Final answer
    x = 225,679.97

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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.