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Finding the Fourth Proportional to 397,831.80, 596,747.70 and 319,099.80

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Solution

The fourth proportional to 397,831.80, 596,747.70 and 319,099.80 is: 478,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,831.80 : 596,747.70 = 319,099.80 : x
  2. Step 2: Convert to fraction form
    397,831.80/596,747.70 = 319,099.80/x
  3. Step 3: Cross multiply
    397,831.80x = 596,747.70 × 319,099.80
  4. Step 4: Simplify right side
    397,831.80x = 190,422,071,720.46
  5. Step 5: Solve for x
    x = 190,422,071,720.46/397,831.80
  6. Step 6: Final answer
    x = 478,649.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.