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Finding the Fourth Proportional to 493,831.44, 740,600.10 and 209,518.56

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Solution

The fourth proportional to 493,831.44, 740,600.10 and 209,518.56 is: 314,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,831.44 : 740,600.10 = 209,518.56 : x
  2. Step 2: Convert to fraction form
    493,831.44/740,600.10 = 209,518.56/x
  3. Step 3: Cross multiply
    493,831.44x = 740,600.10 × 209,518.56
  4. Step 4: Simplify right side
    493,831.44x = 155,169,466,487.86
  5. Step 5: Solve for x
    x = 155,169,466,487.86/493,831.44
  6. Step 6: Final answer
    x = 314,215.45

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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.