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Finding the Fourth Proportional to 410,400.48, 565,906.24 and 266,894.40

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Solution

The fourth proportional to 410,400.48, 565,906.24 and 266,894.40 is: 368,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,400.48 : 565,906.24 = 266,894.40 : x
  2. Step 2: Convert to fraction form
    410,400.48/565,906.24 = 266,894.40/x
  3. Step 3: Cross multiply
    410,400.48x = 565,906.24 × 266,894.40
  4. Step 4: Simplify right side
    410,400.48x = 151,037,206,381.06
  5. Step 5: Solve for x
    x = 151,037,206,381.06/410,400.48
  6. Step 6: Final answer
    x = 368,023.95

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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.