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Finding the Fourth Proportional to 522,259, 720,721.98 and 283,795

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Solution

The fourth proportional to 522,259, 720,721.98 and 283,795 is: 391,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,259 : 720,721.98 = 283,795 : x
  2. Step 2: Convert to fraction form
    522,259/720,721.98 = 283,795/x
  3. Step 3: Cross multiply
    522,259x = 720,721.98 × 283,795
  4. Step 4: Simplify right side
    522,259x = 204,537,294,314.10
  5. Step 5: Solve for x
    x = 204,537,294,314.10/522,259
  6. Step 6: Final answer
    x = 391,639.58

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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.