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Finding the Fourth Proportional to 522,551.78, 783,959.28 and 148,574.78

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Solution

The fourth proportional to 522,551.78, 783,959.28 and 148,574.78 is: 222,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,551.78 : 783,959.28 = 148,574.78 : x
  2. Step 2: Convert to fraction form
    522,551.78/783,959.28 = 148,574.78/x
  3. Step 3: Cross multiply
    522,551.78x = 783,959.28 × 148,574.78
  4. Step 4: Simplify right side
    522,551.78x = 116,476,577,554.96
  5. Step 5: Solve for x
    x = 116,476,577,554.96/522,551.78
  6. Step 6: Final answer
    x = 222,899.59

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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.