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Finding the Fourth Proportional to 345,884.93, 518,985.02 and 177,523.47

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Solution

The fourth proportional to 345,884.93, 518,985.02 and 177,523.47 is: 266,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,884.93 : 518,985.02 = 177,523.47 : x
  2. Step 2: Convert to fraction form
    345,884.93/518,985.02 = 177,523.47/x
  3. Step 3: Cross multiply
    345,884.93x = 518,985.02 × 177,523.47
  4. Step 4: Simplify right side
    345,884.93x = 92,132,021,628.42
  5. Step 5: Solve for x
    x = 92,132,021,628.42/345,884.93
  6. Step 6: Final answer
    x = 266,366.11

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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.