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Finding the Fourth Proportional to 305,764.10, 458,646.15 and 293,516.90

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Solution

The fourth proportional to 305,764.10, 458,646.15 and 293,516.90 is: 440,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,764.10 : 458,646.15 = 293,516.90 : x
  2. Step 2: Convert to fraction form
    305,764.10/458,646.15 = 293,516.90/x
  3. Step 3: Cross multiply
    305,764.10x = 458,646.15 × 293,516.90
  4. Step 4: Simplify right side
    305,764.10x = 134,620,396,144.94
  5. Step 5: Solve for x
    x = 134,620,396,144.94/305,764.10
  6. Step 6: Final answer
    x = 440,275.35

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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.