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Finding the Fourth Proportional to 357,467.61, 493,303.38 and 194,122.71

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Solution

The fourth proportional to 357,467.61, 493,303.38 and 194,122.71 is: 267,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,467.61 : 493,303.38 = 194,122.71 : x
  2. Step 2: Convert to fraction form
    357,467.61/493,303.38 = 194,122.71/x
  3. Step 3: Cross multiply
    357,467.61x = 493,303.38 × 194,122.71
  4. Step 4: Simplify right side
    357,467.61x = 95,761,388,977.76
  5. Step 5: Solve for x
    x = 95,761,388,977.76/357,467.61
  6. Step 6: Final answer
    x = 267,888.30

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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.