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Finding the Fourth Proportional to 299,783.13, 413,700.78 and 165,647.13

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Solution

The fourth proportional to 299,783.13, 413,700.78 and 165,647.13 is: 228,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,783.13 : 413,700.78 = 165,647.13 : x
  2. Step 2: Convert to fraction form
    299,783.13/413,700.78 = 165,647.13/x
  3. Step 3: Cross multiply
    299,783.13x = 413,700.78 × 165,647.13
  4. Step 4: Simplify right side
    299,783.13x = 68,528,346,885.76
  5. Step 5: Solve for x
    x = 68,528,346,885.76/299,783.13
  6. Step 6: Final answer
    x = 228,593.07

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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.