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Finding the Fourth Proportional to 466,409.52, 699,614.25 and 257,376.06

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Solution

The fourth proportional to 466,409.52, 699,614.25 and 257,376.06 is: 386,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,409.52 : 699,614.25 = 257,376.06 : x
  2. Step 2: Convert to fraction form
    466,409.52/699,614.25 = 257,376.06/x
  3. Step 3: Cross multiply
    466,409.52x = 699,614.25 × 257,376.06
  4. Step 4: Simplify right side
    466,409.52x = 180,063,959,184.86
  5. Step 5: Solve for x
    x = 180,063,959,184.86/466,409.52
  6. Step 6: Final answer
    x = 386,064.07

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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.