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Finding the Fourth Proportional to 294,454.95, 406,349.78 and 167,132.67

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Solution

The fourth proportional to 294,454.95, 406,349.78 and 167,132.67 is: 230,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,454.95 : 406,349.78 = 167,132.67 : x
  2. Step 2: Convert to fraction form
    294,454.95/406,349.78 = 167,132.67/x
  3. Step 3: Cross multiply
    294,454.95x = 406,349.78 × 167,132.67
  4. Step 4: Simplify right side
    294,454.95x = 67,914,322,849.65
  5. Step 5: Solve for x
    x = 67,914,322,849.65/294,454.95
  6. Step 6: Final answer
    x = 230,644.19

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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.