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Finding the Fourth Proportional to 472,693.44, 709,039.80 and 140,269.44

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Solution

The fourth proportional to 472,693.44, 709,039.80 and 140,269.44 is: 210,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,693.44 : 709,039.80 = 140,269.44 : x
  2. Step 2: Convert to fraction form
    472,693.44/709,039.80 = 140,269.44/x
  3. Step 3: Cross multiply
    472,693.44x = 709,039.80 × 140,269.44
  4. Step 4: Simplify right side
    472,693.44x = 99,456,615,683.71
  5. Step 5: Solve for x
    x = 99,456,615,683.71/472,693.44
  6. Step 6: Final answer
    x = 210,404.05

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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.