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Finding the Fourth Proportional to 492,615.84, 738,919.44 and 155,656.56

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Solution

The fourth proportional to 492,615.84, 738,919.44 and 155,656.56 is: 233,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,615.84 : 738,919.44 = 155,656.56 : x
  2. Step 2: Convert to fraction form
    492,615.84/738,919.44 = 155,656.56/x
  3. Step 3: Cross multiply
    492,615.84x = 738,919.44 × 155,656.56
  4. Step 4: Simplify right side
    492,615.84x = 115,017,658,147.53
  5. Step 5: Solve for x
    x = 115,017,658,147.53/492,615.84
  6. Step 6: Final answer
    x = 233,483.47

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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.