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Finding the Fourth Proportional to 410,443.65, 566,421.44 and 257,488.29

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Solution

The fourth proportional to 410,443.65, 566,421.44 and 257,488.29 is: 355,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,443.65 : 566,421.44 = 257,488.29 : x
  2. Step 2: Convert to fraction form
    410,443.65/566,421.44 = 257,488.29/x
  3. Step 3: Cross multiply
    410,443.65x = 566,421.44 × 257,488.29
  4. Step 4: Simplify right side
    410,443.65x = 145,846,886,717.50
  5. Step 5: Solve for x
    x = 145,846,886,717.50/410,443.65
  6. Step 6: Final answer
    x = 355,339.61

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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.