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Finding the Fourth Proportional to 461,404.53, 692,069.13 and 205,316.55

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Solution

The fourth proportional to 461,404.53, 692,069.13 and 205,316.55 is: 307,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,404.53 : 692,069.13 = 205,316.55 : x
  2. Step 2: Convert to fraction form
    461,404.53/692,069.13 = 205,316.55/x
  3. Step 3: Cross multiply
    461,404.53x = 692,069.13 × 205,316.55
  4. Step 4: Simplify right side
    461,404.53x = 142,093,246,133.10
  5. Step 5: Solve for x
    x = 142,093,246,133.10/461,404.53
  6. Step 6: Final answer
    x = 307,958.06

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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.