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Finding the Fourth Proportional to 305,998.70, 458,998.05 and 288,502.70

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Solution

The fourth proportional to 305,998.70, 458,998.05 and 288,502.70 is: 432,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,998.70 : 458,998.05 = 288,502.70 : x
  2. Step 2: Convert to fraction form
    305,998.70/458,998.05 = 288,502.70/x
  3. Step 3: Cross multiply
    305,998.70x = 458,998.05 × 288,502.70
  4. Step 4: Simplify right side
    305,998.70x = 132,422,176,719.74
  5. Step 5: Solve for x
    x = 132,422,176,719.74/305,998.70
  6. Step 6: Final answer
    x = 432,754.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.