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Finding the Fourth Proportional to 257,810.40, 386,715.60 and 187,826.40

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Solution

The fourth proportional to 257,810.40, 386,715.60 and 187,826.40 is: 281,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,810.40 : 386,715.60 = 187,826.40 : x
  2. Step 2: Convert to fraction form
    257,810.40/386,715.60 = 187,826.40/x
  3. Step 3: Cross multiply
    257,810.40x = 386,715.60 × 187,826.40
  4. Step 4: Simplify right side
    257,810.40x = 72,635,398,971.84
  5. Step 5: Solve for x
    x = 72,635,398,971.84/257,810.40
  6. Step 6: Final answer
    x = 281,739.60

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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.