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Finding the Fourth Proportional to 314,240.78, 471,362.12 and 77,583.48

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Solution

The fourth proportional to 314,240.78, 471,362.12 and 77,583.48 is: 116,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,240.78 : 471,362.12 = 77,583.48 : x
  2. Step 2: Convert to fraction form
    314,240.78/471,362.12 = 77,583.48/x
  3. Step 3: Cross multiply
    314,240.78x = 471,362.12 × 77,583.48
  4. Step 4: Simplify right side
    314,240.78x = 36,569,913,609.78
  5. Step 5: Solve for x
    x = 36,569,913,609.78/314,240.78
  6. Step 6: Final answer
    x = 116,375.45

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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.