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Finding the Fourth Proportional to 289,468.12, 399,602.82 and 194,037.16

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Solution

The fourth proportional to 289,468.12, 399,602.82 and 194,037.16 is: 267,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,468.12 : 399,602.82 = 194,037.16 : x
  2. Step 2: Convert to fraction form
    289,468.12/399,602.82 = 194,037.16/x
  3. Step 3: Cross multiply
    289,468.12x = 399,602.82 × 194,037.16
  4. Step 4: Simplify right side
    289,468.12x = 77,537,796,320.79
  5. Step 5: Solve for x
    x = 77,537,796,320.79/289,468.12
  6. Step 6: Final answer
    x = 267,862.99

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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.