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Finding the Fourth Proportional to 310,921.34, 466,376.79 and 140,048.03

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Solution

The fourth proportional to 310,921.34, 466,376.79 and 140,048.03 is: 210,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,921.34 : 466,376.79 = 140,048.03 : x
  2. Step 2: Convert to fraction form
    310,921.34/466,376.79 = 140,048.03/x
  3. Step 3: Cross multiply
    310,921.34x = 466,376.79 × 140,048.03
  4. Step 4: Simplify right side
    310,921.34x = 65,315,150,677.22
  5. Step 5: Solve for x
    x = 65,315,150,677.22/310,921.34
  6. Step 6: Final answer
    x = 210,069.69

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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.