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Finding the Fourth Proportional to 589,589.74, 813,662.65 and 331,547.91

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Solution

The fourth proportional to 589,589.74, 813,662.65 and 331,547.91 is: 457,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,589.74 : 813,662.65 = 331,547.91 : x
  2. Step 2: Convert to fraction form
    589,589.74/813,662.65 = 331,547.91/x
  3. Step 3: Cross multiply
    589,589.74x = 813,662.65 × 331,547.91
  4. Step 4: Simplify right side
    589,589.74x = 269,768,151,052.56
  5. Step 5: Solve for x
    x = 269,768,151,052.56/589,589.74
  6. Step 6: Final answer
    x = 457,552.32

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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.