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Finding the Fourth Proportional to 460,255.29, 635,023.96 and 296,842.65

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Solution

The fourth proportional to 460,255.29, 635,023.96 and 296,842.65 is: 409,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,255.29 : 635,023.96 = 296,842.65 : x
  2. Step 2: Convert to fraction form
    460,255.29/635,023.96 = 296,842.65/x
  3. Step 3: Cross multiply
    460,255.29x = 635,023.96 × 296,842.65
  4. Step 4: Simplify right side
    460,255.29x = 188,502,195,099.89
  5. Step 5: Solve for x
    x = 188,502,195,099.89/460,255.29
  6. Step 6: Final answer
    x = 409,560.08

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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.