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Finding the Fourth Proportional to 410,062.49, 565,886.59 and 228,774.46

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Solution

The fourth proportional to 410,062.49, 565,886.59 and 228,774.46 is: 315,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,062.49 : 565,886.59 = 228,774.46 : x
  2. Step 2: Convert to fraction form
    410,062.49/565,886.59 = 228,774.46/x
  3. Step 3: Cross multiply
    410,062.49x = 565,886.59 × 228,774.46
  4. Step 4: Simplify right side
    410,062.49x = 129,460,397,894.35
  5. Step 5: Solve for x
    x = 129,460,397,894.35/410,062.49
  6. Step 6: Final answer
    x = 315,708.95

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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.