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Finding the Fourth Proportional to 273,841.65, 410,395.30 and 213,125.24

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Solution

The fourth proportional to 273,841.65, 410,395.30 and 213,125.24 is: 319,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,841.65 : 410,395.30 = 213,125.24 : x
  2. Step 2: Convert to fraction form
    273,841.65/410,395.30 = 213,125.24/x
  3. Step 3: Cross multiply
    273,841.65x = 410,395.30 × 213,125.24
  4. Step 4: Simplify right side
    273,841.65x = 87,465,596,807.37
  5. Step 5: Solve for x
    x = 87,465,596,807.37/273,841.65
  6. Step 6: Final answer
    x = 319,402.10

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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.