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Finding the Fourth Proportional to 589,610.92, 813,665.76 and 334,976.08

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Solution

The fourth proportional to 589,610.92, 813,665.76 and 334,976.08 is: 462,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,610.92 : 813,665.76 = 334,976.08 : x
  2. Step 2: Convert to fraction form
    589,610.92/813,665.76 = 334,976.08/x
  3. Step 3: Cross multiply
    589,610.92x = 813,665.76 × 334,976.08
  4. Step 4: Simplify right side
    589,610.92x = 272,558,566,715.02
  5. Step 5: Solve for x
    x = 272,558,566,715.02/589,610.92
  6. Step 6: Final answer
    x = 462,268.52

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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.