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Finding the Fourth Proportional to 330,253.96, 455,866.74 and 196,117

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Solution

The fourth proportional to 330,253.96, 455,866.74 and 196,117 is: 270,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,253.96 : 455,866.74 = 196,117 : x
  2. Step 2: Convert to fraction form
    330,253.96/455,866.74 = 196,117/x
  3. Step 3: Cross multiply
    330,253.96x = 455,866.74 × 196,117
  4. Step 4: Simplify right side
    330,253.96x = 89,403,217,448.58
  5. Step 5: Solve for x
    x = 89,403,217,448.58/330,253.96
  6. Step 6: Final answer
    x = 270,710.51

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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.