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Finding the Fourth Proportional to 589,618.94, 813,695.92 and 335,013.26

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Solution

The fourth proportional to 589,618.94, 813,695.92 and 335,013.26 is: 462,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,618.94 : 813,695.92 = 335,013.26 : x
  2. Step 2: Convert to fraction form
    589,618.94/813,695.92 = 335,013.26/x
  3. Step 3: Cross multiply
    589,618.94x = 813,695.92 × 335,013.26
  4. Step 4: Simplify right side
    589,618.94x = 272,598,922,807.90
  5. Step 5: Solve for x
    x = 272,598,922,807.90/589,618.94
  6. Step 6: Final answer
    x = 462,330.68

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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.