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Finding the Fourth Proportional to 589,600.32, 813,651.18 and 334,965.48

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Solution

The fourth proportional to 589,600.32, 813,651.18 and 334,965.48 is: 462,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,600.32 : 813,651.18 = 334,965.48 : x
  2. Step 2: Convert to fraction form
    589,600.32/813,651.18 = 334,965.48/x
  3. Step 3: Cross multiply
    589,600.32x = 813,651.18 × 334,965.48
  4. Step 4: Simplify right side
    589,600.32x = 272,545,058,061.27
  5. Step 5: Solve for x
    x = 272,545,058,061.27/589,600.32
  6. Step 6: Final answer
    x = 462,253.92

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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.