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Finding the Fourth Proportional to 485,105.49, 664,596.93 and 466,924

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Solution

The fourth proportional to 485,105.49, 664,596.93 and 466,924 is: 639,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,105.49 : 664,596.93 = 466,924 : x
  2. Step 2: Convert to fraction form
    485,105.49/664,596.93 = 466,924/x
  3. Step 3: Cross multiply
    485,105.49x = 664,596.93 × 466,924
  4. Step 4: Simplify right side
    485,105.49x = 310,316,256,943.32
  5. Step 5: Solve for x
    x = 310,316,256,943.32/485,105.49
  6. Step 6: Final answer
    x = 639,688.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.