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Finding the Fourth Proportional to 418,922.24, 577,924.80 and 282,912

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Solution

The fourth proportional to 418,922.24, 577,924.80 and 282,912 is: 390,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,922.24 : 577,924.80 = 282,912 : x
  2. Step 2: Convert to fraction form
    418,922.24/577,924.80 = 282,912/x
  3. Step 3: Cross multiply
    418,922.24x = 577,924.80 × 282,912
  4. Step 4: Simplify right side
    418,922.24x = 163,501,861,017.60
  5. Step 5: Solve for x
    x = 163,501,861,017.60/418,922.24
  6. Step 6: Final answer
    x = 390,291.67

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