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Finding the Fourth Proportional to 409,553.64, 565,186.79 and 228,277.24

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Solution

The fourth proportional to 409,553.64, 565,186.79 and 228,277.24 is: 315,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,553.64 : 565,186.79 = 228,277.24 : x
  2. Step 2: Convert to fraction form
    409,553.64/565,186.79 = 228,277.24/x
  3. Step 3: Cross multiply
    409,553.64x = 565,186.79 × 228,277.24
  4. Step 4: Simplify right side
    409,553.64x = 129,019,279,021.36
  5. Step 5: Solve for x
    x = 129,019,279,021.36/409,553.64
  6. Step 6: Final answer
    x = 315,024.13

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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.