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Finding the Fourth Proportional to 666,838.38, 920,319.39 and 496,777.26

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Solution

The fourth proportional to 666,838.38, 920,319.39 and 496,777.26 is: 685,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,838.38 : 920,319.39 = 496,777.26 : x
  2. Step 2: Convert to fraction form
    666,838.38/920,319.39 = 496,777.26/x
  3. Step 3: Cross multiply
    666,838.38x = 920,319.39 × 496,777.26
  4. Step 4: Simplify right side
    666,838.38x = 457,193,744,889.07
  5. Step 5: Solve for x
    x = 457,193,744,889.07/666,838.38
  6. Step 6: Final answer
    x = 685,614.02

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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.