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Finding the Fourth Proportional to 474,270.40, 711,340.80 and 141,846.40

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Solution

The fourth proportional to 474,270.40, 711,340.80 and 141,846.40 is: 212,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,270.40 : 711,340.80 = 141,846.40 : x
  2. Step 2: Convert to fraction form
    474,270.40/711,340.80 = 141,846.40/x
  3. Step 3: Cross multiply
    474,270.40x = 711,340.80 × 141,846.40
  4. Step 4: Simplify right side
    474,270.40x = 100,901,131,653.12
  5. Step 5: Solve for x
    x = 100,901,131,653.12/474,270.40
  6. Step 6: Final answer
    x = 212,750.22

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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.