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Finding the Fourth Proportional to 473,228.16, 709,040.52 and 285,846

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Solution

The fourth proportional to 473,228.16, 709,040.52 and 285,846 is: 428,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,228.16 : 709,040.52 = 285,846 : x
  2. Step 2: Convert to fraction form
    473,228.16/709,040.52 = 285,846/x
  3. Step 3: Cross multiply
    473,228.16x = 709,040.52 × 285,846
  4. Step 4: Simplify right side
    473,228.16x = 202,676,396,479.92
  5. Step 5: Solve for x
    x = 202,676,396,479.92/473,228.16
  6. Step 6: Final answer
    x = 428,284.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.