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Finding the Fourth Proportional to 472,713.44, 709,069.80 and 140,289.44

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Solution

The fourth proportional to 472,713.44, 709,069.80 and 140,289.44 is: 210,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,713.44 : 709,069.80 = 140,289.44 : x
  2. Step 2: Convert to fraction form
    472,713.44/709,069.80 = 140,289.44/x
  3. Step 3: Cross multiply
    472,713.44x = 709,069.80 × 140,289.44
  4. Step 4: Simplify right side
    472,713.44x = 99,475,005,162.91
  5. Step 5: Solve for x
    x = 99,475,005,162.91/472,713.44
  6. Step 6: Final answer
    x = 210,434.05

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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.