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Finding the Fourth Proportional to 295,390.98, 406,928.34 and 234,942.30

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Solution

The fourth proportional to 295,390.98, 406,928.34 and 234,942.30 is: 323,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,390.98 : 406,928.34 = 234,942.30 : x
  2. Step 2: Convert to fraction form
    295,390.98/406,928.34 = 234,942.30/x
  3. Step 3: Cross multiply
    295,390.98x = 406,928.34 × 234,942.30
  4. Step 4: Simplify right side
    295,390.98x = 95,604,680,134.78
  5. Step 5: Solve for x
    x = 95,604,680,134.78/295,390.98
  6. Step 6: Final answer
    x = 323,654.70

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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.