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Finding the Fourth Proportional to 458,126.76, 632,212.74 and 256,922.76

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Solution

The fourth proportional to 458,126.76, 632,212.74 and 256,922.76 is: 354,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,126.76 : 632,212.74 = 256,922.76 : x
  2. Step 2: Convert to fraction form
    458,126.76/632,212.74 = 256,922.76/x
  3. Step 3: Cross multiply
    458,126.76x = 632,212.74 × 256,922.76
  4. Step 4: Simplify right side
    458,126.76x = 162,429,842,067.96
  5. Step 5: Solve for x
    x = 162,429,842,067.96/458,126.76
  6. Step 6: Final answer
    x = 354,552.18

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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.