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Finding the Fourth Proportional to 589,886.41, 814,112.36 and 335,275.87

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Solution

The fourth proportional to 589,886.41, 814,112.36 and 335,275.87 is: 462,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,886.41 : 814,112.36 = 335,275.87 : x
  2. Step 2: Convert to fraction form
    589,886.41/814,112.36 = 335,275.87/x
  3. Step 3: Cross multiply
    589,886.41x = 814,112.36 × 335,275.87
  4. Step 4: Simplify right side
    589,886.41x = 272,952,228,100.37
  5. Step 5: Solve for x
    x = 272,952,228,100.37/589,886.41
  6. Step 6: Final answer
    x = 462,719.98

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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.