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Finding the Fourth Proportional to 458,648.30, 633,234.42 and 297,961.31

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Solution

The fourth proportional to 458,648.30, 633,234.42 and 297,961.31 is: 411,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,648.30 : 633,234.42 = 297,961.31 : x
  2. Step 2: Convert to fraction form
    458,648.30/633,234.42 = 297,961.31/x
  3. Step 3: Cross multiply
    458,648.30x = 633,234.42 × 297,961.31
  4. Step 4: Simplify right side
    458,648.30x = 188,679,357,320.29
  5. Step 5: Solve for x
    x = 188,679,357,320.29/458,648.30
  6. Step 6: Final answer
    x = 411,381.35

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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.