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Finding the Fourth Proportional to 461,490.23, 692,308.55 and 195,252.75

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Solution

The fourth proportional to 461,490.23, 692,308.55 and 195,252.75 is: 292,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,490.23 : 692,308.55 = 195,252.75 : x
  2. Step 2: Convert to fraction form
    461,490.23/692,308.55 = 195,252.75/x
  3. Step 3: Cross multiply
    461,490.23x = 692,308.55 × 195,252.75
  4. Step 4: Simplify right side
    461,490.23x = 135,175,148,724.14
  5. Step 5: Solve for x
    x = 135,175,148,724.14/461,490.23
  6. Step 6: Final answer
    x = 292,910.10

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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.