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Finding the Fourth Proportional to 461,778.90, 692,741.25 and 195,541.08

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Solution

The fourth proportional to 461,778.90, 692,741.25 and 195,541.08 is: 293,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,778.90 : 692,741.25 = 195,541.08 : x
  2. Step 2: Convert to fraction form
    461,778.90/692,741.25 = 195,541.08/x
  3. Step 3: Cross multiply
    461,778.90x = 692,741.25 × 195,541.08
  4. Step 4: Simplify right side
    461,778.90x = 135,459,372,185.55
  5. Step 5: Solve for x
    x = 135,459,372,185.55/461,778.90
  6. Step 6: Final answer
    x = 293,342.49

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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.