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Finding the Fourth Proportional to 302,689.17, 452,912.65 and 189,467.24

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Solution

The fourth proportional to 302,689.17, 452,912.65 and 189,467.24 is: 283,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,689.17 : 452,912.65 = 189,467.24 : x
  2. Step 2: Convert to fraction form
    302,689.17/452,912.65 = 189,467.24/x
  3. Step 3: Cross multiply
    302,689.17x = 452,912.65 × 189,467.24
  4. Step 4: Simplify right side
    302,689.17x = 85,812,107,018.35
  5. Step 5: Solve for x
    x = 85,812,107,018.35/302,689.17
  6. Step 6: Final answer
    x = 283,499.10

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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.