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Finding the Fourth Proportional to 313,095.34, 469,269.35 and 170,976.40

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Solution

The fourth proportional to 313,095.34, 469,269.35 and 170,976.40 is: 256,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,095.34 : 469,269.35 = 170,976.40 : x
  2. Step 2: Convert to fraction form
    313,095.34/469,269.35 = 170,976.40/x
  3. Step 3: Cross multiply
    313,095.34x = 469,269.35 × 170,976.40
  4. Step 4: Simplify right side
    313,095.34x = 80,233,984,093.34
  5. Step 5: Solve for x
    x = 80,233,984,093.34/313,095.34
  6. Step 6: Final answer
    x = 256,260.55

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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.