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Finding the Fourth Proportional to 513,898.53, 709,095.38 and 322,775.79

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Solution

The fourth proportional to 513,898.53, 709,095.38 and 322,775.79 is: 445,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,898.53 : 709,095.38 = 322,775.79 : x
  2. Step 2: Convert to fraction form
    513,898.53/709,095.38 = 322,775.79/x
  3. Step 3: Cross multiply
    513,898.53x = 709,095.38 × 322,775.79
  4. Step 4: Simplify right side
    513,898.53x = 228,878,819,850.97
  5. Step 5: Solve for x
    x = 228,878,819,850.97/513,898.53
  6. Step 6: Final answer
    x = 445,377.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.