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Finding the Fourth Proportional to 257,370.83, 386,190.86 and 186,875.78

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Solution

The fourth proportional to 257,370.83, 386,190.86 and 186,875.78 is: 280,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,370.83 : 386,190.86 = 186,875.78 : x
  2. Step 2: Convert to fraction form
    257,370.83/386,190.86 = 186,875.78/x
  3. Step 3: Cross multiply
    257,370.83x = 386,190.86 × 186,875.78
  4. Step 4: Simplify right side
    257,370.83x = 72,169,715,326.04
  5. Step 5: Solve for x
    x = 72,169,715,326.04/257,370.83
  6. Step 6: Final answer
    x = 280,411.40

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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.