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Finding the Fourth Proportional to 409,616.08, 565,262.10 and 228,317.20

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Solution

The fourth proportional to 409,616.08, 565,262.10 and 228,317.20 is: 315,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,616.08 : 565,262.10 = 228,317.20 : x
  2. Step 2: Convert to fraction form
    409,616.08/565,262.10 = 228,317.20/x
  3. Step 3: Cross multiply
    409,616.08x = 565,262.10 × 228,317.20
  4. Step 4: Simplify right side
    409,616.08x = 129,059,055,970.22
  5. Step 5: Solve for x
    x = 129,059,055,970.22/409,616.08
  6. Step 6: Final answer
    x = 315,073.22

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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.