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Finding the Fourth Proportional to 385,547.41, 532,049.92 and 213,448.87

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Solution

The fourth proportional to 385,547.41, 532,049.92 and 213,448.87 is: 294,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,547.41 : 532,049.92 = 213,448.87 : x
  2. Step 2: Convert to fraction form
    385,547.41/532,049.92 = 213,448.87/x
  3. Step 3: Cross multiply
    385,547.41x = 532,049.92 × 213,448.87
  4. Step 4: Simplify right side
    385,547.41x = 113,565,454,207.59
  5. Step 5: Solve for x
    x = 113,565,454,207.59/385,547.41
  6. Step 6: Final answer
    x = 294,556.39

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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.