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Finding the Fourth Proportional to 474,412.32, 654,704.52 and 259,547.44

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Solution

The fourth proportional to 474,412.32, 654,704.52 and 259,547.44 is: 358,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,412.32 : 654,704.52 = 259,547.44 : x
  2. Step 2: Convert to fraction form
    474,412.32/654,704.52 = 259,547.44/x
  3. Step 3: Cross multiply
    474,412.32x = 654,704.52 × 259,547.44
  4. Step 4: Simplify right side
    474,412.32x = 169,926,882,122.43
  5. Step 5: Solve for x
    x = 169,926,882,122.43/474,412.32
  6. Step 6: Final answer
    x = 358,183.96

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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.