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Finding the Fourth Proportional to 314,440.34, 471,563.31 and 104,034.74

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Solution

The fourth proportional to 314,440.34, 471,563.31 and 104,034.74 is: 156,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,440.34 : 471,563.31 = 104,034.74 : x
  2. Step 2: Convert to fraction form
    314,440.34/471,563.31 = 104,034.74/x
  3. Step 3: Cross multiply
    314,440.34x = 471,563.31 × 104,034.74
  4. Step 4: Simplify right side
    314,440.34x = 49,058,966,349.39
  5. Step 5: Solve for x
    x = 49,058,966,349.39/314,440.34
  6. Step 6: Final answer
    x = 156,019.95

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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.