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Finding the Fourth Proportional to 299,783.36, 413,700.72 and 165,647.36

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Solution

The fourth proportional to 299,783.36, 413,700.72 and 165,647.36 is: 228,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,783.36 : 413,700.72 = 165,647.36 : x
  2. Step 2: Convert to fraction form
    299,783.36/413,700.72 = 165,647.36/x
  3. Step 3: Cross multiply
    299,783.36x = 413,700.72 × 165,647.36
  4. Step 4: Simplify right side
    299,783.36x = 68,528,432,098.10
  5. Step 5: Solve for x
    x = 68,528,432,098.10/299,783.36
  6. Step 6: Final answer
    x = 228,593.18

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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.