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Finding the Fourth Proportional to 312,606.94, 468,161.16 and 160,403.48

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Solution

The fourth proportional to 312,606.94, 468,161.16 and 160,403.48 is: 240,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,606.94 : 468,161.16 = 160,403.48 : x
  2. Step 2: Convert to fraction form
    312,606.94/468,161.16 = 160,403.48/x
  3. Step 3: Cross multiply
    312,606.94x = 468,161.16 × 160,403.48
  4. Step 4: Simplify right side
    312,606.94x = 75,094,679,833.73
  5. Step 5: Solve for x
    x = 75,094,679,833.73/312,606.94
  6. Step 6: Final answer
    x = 240,220.77

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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.