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Finding the Fourth Proportional to 233,438.40, 349,574.40 and 186,782.40

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Solution

The fourth proportional to 233,438.40, 349,574.40 and 186,782.40 is: 279,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,438.40 : 349,574.40 = 186,782.40 : x
  2. Step 2: Convert to fraction form
    233,438.40/349,574.40 = 186,782.40/x
  3. Step 3: Cross multiply
    233,438.40x = 349,574.40 × 186,782.40
  4. Step 4: Simplify right side
    233,438.40x = 65,294,345,410.56
  5. Step 5: Solve for x
    x = 65,294,345,410.56/233,438.40
  6. Step 6: Final answer
    x = 279,706.96

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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.