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Finding the Fourth Proportional to 461,580.53, 692,443.69 and 195,342.44

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Solution

The fourth proportional to 461,580.53, 692,443.69 and 195,342.44 is: 293,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,580.53 : 692,443.69 = 195,342.44 : x
  2. Step 2: Convert to fraction form
    461,580.53/692,443.69 = 195,342.44/x
  3. Step 3: Cross multiply
    461,580.53x = 692,443.69 × 195,342.44
  4. Step 4: Simplify right side
    461,580.53x = 135,263,636,016.63
  5. Step 5: Solve for x
    x = 135,263,636,016.63/461,580.53
  6. Step 6: Final answer
    x = 293,044.50

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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.