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Finding the Fourth Proportional to 522,471, 783,716.22 and 148,503.72

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Solution

The fourth proportional to 522,471, 783,716.22 and 148,503.72 is: 222,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,471 : 783,716.22 = 148,503.72 : x
  2. Step 2: Convert to fraction form
    522,471/783,716.22 = 148,503.72/x
  3. Step 3: Cross multiply
    522,471x = 783,716.22 × 148,503.72
  4. Step 4: Simplify right side
    522,471x = 116,384,774,094.34
  5. Step 5: Solve for x
    x = 116,384,774,094.34/522,471
  6. Step 6: Final answer
    x = 222,758.34

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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.