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Finding the Fourth Proportional to 457,196, 630,784.68 and 296,174.48

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Solution

The fourth proportional to 457,196, 630,784.68 and 296,174.48 is: 408,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,196 : 630,784.68 = 296,174.48 : x
  2. Step 2: Convert to fraction form
    457,196/630,784.68 = 296,174.48/x
  3. Step 3: Cross multiply
    457,196x = 630,784.68 × 296,174.48
  4. Step 4: Simplify right side
    457,196x = 186,822,324,590.97
  5. Step 5: Solve for x
    x = 186,822,324,590.97/457,196
  6. Step 6: Final answer
    x = 408,626.33

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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.