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Finding the Fourth Proportional to 346,543.75, 478,231.82 and 187,567.75

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Solution

The fourth proportional to 346,543.75, 478,231.82 and 187,567.75 is: 258,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,543.75 : 478,231.82 = 187,567.75 : x
  2. Step 2: Convert to fraction form
    346,543.75/478,231.82 = 187,567.75/x
  3. Step 3: Cross multiply
    346,543.75x = 478,231.82 × 187,567.75
  4. Step 4: Simplify right side
    346,543.75x = 89,700,865,517.97
  5. Step 5: Solve for x
    x = 89,700,865,517.97/346,543.75
  6. Step 6: Final answer
    x = 258,844.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.