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Finding the Fourth Proportional to 589,963.92, 814,220.10 and 335,353.36

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Solution

The fourth proportional to 589,963.92, 814,220.10 and 335,353.36 is: 462,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,963.92 : 814,220.10 = 335,353.36 : x
  2. Step 2: Convert to fraction form
    589,963.92/814,220.10 = 335,353.36/x
  3. Step 3: Cross multiply
    589,963.92x = 814,220.10 × 335,353.36
  4. Step 4: Simplify right side
    589,963.92x = 273,051,446,314.54
  5. Step 5: Solve for x
    x = 273,051,446,314.54/589,963.92
  6. Step 6: Final answer
    x = 462,827.36

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Double scale
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1.5x scale

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.