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Finding the Fourth Proportional to 409,514.78, 565,479.34 and 256,809.80

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Solution

The fourth proportional to 409,514.78, 565,479.34 and 256,809.80 is: 354,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,514.78 : 565,479.34 = 256,809.80 : x
  2. Step 2: Convert to fraction form
    409,514.78/565,479.34 = 256,809.80/x
  3. Step 3: Cross multiply
    409,514.78x = 565,479.34 × 256,809.80
  4. Step 4: Simplify right side
    409,514.78x = 145,220,632,740.11
  5. Step 5: Solve for x
    x = 145,220,632,740.11/409,514.78
  6. Step 6: Final answer
    x = 354,616.35

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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.