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Finding the Fourth Proportional to 299,623.29, 413,477.68 and 163,657.32

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Solution

The fourth proportional to 299,623.29, 413,477.68 and 163,657.32 is: 225,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,623.29 : 413,477.68 = 163,657.32 : x
  2. Step 2: Convert to fraction form
    299,623.29/413,477.68 = 163,657.32/x
  3. Step 3: Cross multiply
    299,623.29x = 413,477.68 × 163,657.32
  4. Step 4: Simplify right side
    299,623.29x = 67,668,649,968.46
  5. Step 5: Solve for x
    x = 67,668,649,968.46/299,623.29
  6. Step 6: Final answer
    x = 225,845.76

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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.