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Finding the Fourth Proportional to 477,045.79, 658,049.07 and 297,886.75

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Solution

The fourth proportional to 477,045.79, 658,049.07 and 297,886.75 is: 410,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,045.79 : 658,049.07 = 297,886.75 : x
  2. Step 2: Convert to fraction form
    477,045.79/658,049.07 = 297,886.75/x
  3. Step 3: Cross multiply
    477,045.79x = 658,049.07 × 297,886.75
  4. Step 4: Simplify right side
    477,045.79x = 196,024,098,802.82
  5. Step 5: Solve for x
    x = 196,024,098,802.82/477,045.79
  6. Step 6: Final answer
    x = 410,912.54

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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.