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Finding the Fourth Proportional to 295,314.46, 407,392.13 and 193,294.96

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Solution

The fourth proportional to 295,314.46, 407,392.13 and 193,294.96 is: 266,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,314.46 : 407,392.13 = 193,294.96 : x
  2. Step 2: Convert to fraction form
    295,314.46/407,392.13 = 193,294.96/x
  3. Step 3: Cross multiply
    295,314.46x = 407,392.13 × 193,294.96
  4. Step 4: Simplify right side
    295,314.46x = 78,746,844,937.42
  5. Step 5: Solve for x
    x = 78,746,844,937.42/295,314.46
  6. Step 6: Final answer
    x = 266,654.22

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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.