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Finding the Fourth Proportional to 531,831.76, 733,928.84 and 290,114.64

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Solution

The fourth proportional to 531,831.76, 733,928.84 and 290,114.64 is: 400,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,831.76 : 733,928.84 = 290,114.64 : x
  2. Step 2: Convert to fraction form
    531,831.76/733,928.84 = 290,114.64/x
  3. Step 3: Cross multiply
    531,831.76x = 733,928.84 × 290,114.64
  4. Step 4: Simplify right side
    531,831.76x = 212,923,501,202.22
  5. Step 5: Solve for x
    x = 212,923,501,202.22/531,831.76
  6. Step 6: Final answer
    x = 400,358.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.