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Finding the Fourth Proportional to 469,842.24, 648,061.08 and 299,999.82

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Solution

The fourth proportional to 469,842.24, 648,061.08 and 299,999.82 is: 413,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,842.24 : 648,061.08 = 299,999.82 : x
  2. Step 2: Convert to fraction form
    469,842.24/648,061.08 = 299,999.82/x
  3. Step 3: Cross multiply
    469,842.24x = 648,061.08 × 299,999.82
  4. Step 4: Simplify right side
    469,842.24x = 194,418,207,349.01
  5. Step 5: Solve for x
    x = 194,418,207,349.01/469,842.24
  6. Step 6: Final answer
    x = 413,794.65

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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.