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Finding the Fourth Proportional to 410,062.97, 565,887.25 and 228,774.93

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Solution

The fourth proportional to 410,062.97, 565,887.25 and 228,774.93 is: 315,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,062.97 : 565,887.25 = 228,774.93 : x
  2. Step 2: Convert to fraction form
    410,062.97/565,887.25 = 228,774.93/x
  3. Step 3: Cross multiply
    410,062.97x = 565,887.25 × 228,774.93
  4. Step 4: Simplify right side
    410,062.97x = 129,460,814,862.77
  5. Step 5: Solve for x
    x = 129,460,814,862.77/410,062.97
  6. Step 6: Final answer
    x = 315,709.60

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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.