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Finding the Fourth Proportional to 405,831.40, 605,814.29 and 356,065

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Solution

The fourth proportional to 405,831.40, 605,814.29 and 356,065 is: 531,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,831.40 : 605,814.29 = 356,065 : x
  2. Step 2: Convert to fraction form
    405,831.40/605,814.29 = 356,065/x
  3. Step 3: Cross multiply
    405,831.40x = 605,814.29 × 356,065
  4. Step 4: Simplify right side
    405,831.40x = 215,709,265,168.85
  5. Step 5: Solve for x
    x = 215,709,265,168.85/405,831.40
  6. Step 6: Final answer
    x = 531,524.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.