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Finding the Fourth Proportional to 407,295.96, 610,744.08 and 167,366.40

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Solution

The fourth proportional to 407,295.96, 610,744.08 and 167,366.40 is: 250,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,295.96 : 610,744.08 = 167,366.40 : x
  2. Step 2: Convert to fraction form
    407,295.96/610,744.08 = 167,366.40/x
  3. Step 3: Cross multiply
    407,295.96x = 610,744.08 × 167,366.40
  4. Step 4: Simplify right side
    407,295.96x = 102,218,037,990.91
  5. Step 5: Solve for x
    x = 102,218,037,990.91/407,295.96
  6. Step 6: Final answer
    x = 250,967.47

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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.