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Finding the Fourth Proportional to 360,538.65, 540,643.95 and 192,015.72

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Solution

The fourth proportional to 360,538.65, 540,643.95 and 192,015.72 is: 287,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,538.65 : 540,643.95 = 192,015.72 : x
  2. Step 2: Convert to fraction form
    360,538.65/540,643.95 = 192,015.72/x
  3. Step 3: Cross multiply
    360,538.65x = 540,643.95 × 192,015.72
  4. Step 4: Simplify right side
    360,538.65x = 103,812,137,322.89
  5. Step 5: Solve for x
    x = 103,812,137,322.89/360,538.65
  6. Step 6: Final answer
    x = 287,936.22

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Why These Related Problems?

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