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Finding the Fourth Proportional to 522,480.84, 783,730.96 and 148,513.56

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Solution

The fourth proportional to 522,480.84, 783,730.96 and 148,513.56 is: 222,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,480.84 : 783,730.96 = 148,513.56 : x
  2. Step 2: Convert to fraction form
    522,480.84/783,730.96 = 148,513.56/x
  3. Step 3: Cross multiply
    522,480.84x = 783,730.96 × 148,513.56
  4. Step 4: Simplify right side
    522,480.84x = 116,394,674,951.82
  5. Step 5: Solve for x
    x = 116,394,674,951.82/522,480.84
  6. Step 6: Final answer
    x = 222,773.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.