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Finding the Fourth Proportional to 461,405.53, 692,070.63 and 205,317.55

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Solution

The fourth proportional to 461,405.53, 692,070.63 and 205,317.55 is: 307,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,405.53 : 692,070.63 = 205,317.55 : x
  2. Step 2: Convert to fraction form
    461,405.53/692,070.63 = 205,317.55/x
  3. Step 3: Cross multiply
    461,405.53x = 692,070.63 × 205,317.55
  4. Step 4: Simplify right side
    461,405.53x = 142,094,246,178.56
  5. Step 5: Solve for x
    x = 142,094,246,178.56/461,405.53
  6. Step 6: Final answer
    x = 307,959.56

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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.