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Finding the Fourth Proportional to 504,926.16, 696,778.92 and 313,895.76

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Solution

The fourth proportional to 504,926.16, 696,778.92 and 313,895.76 is: 433,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,926.16 : 696,778.92 = 313,895.76 : x
  2. Step 2: Convert to fraction form
    504,926.16/696,778.92 = 313,895.76/x
  3. Step 3: Cross multiply
    504,926.16x = 696,778.92 × 313,895.76
  4. Step 4: Simplify right side
    504,926.16x = 218,715,948,645.38
  5. Step 5: Solve for x
    x = 218,715,948,645.38/504,926.16
  6. Step 6: Final answer
    x = 433,164.22

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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.