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Finding the Fourth Proportional to 302,462.40, 453,002.40 and 178,046.40

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Solution

The fourth proportional to 302,462.40, 453,002.40 and 178,046.40 is: 266,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,462.40 : 453,002.40 = 178,046.40 : x
  2. Step 2: Convert to fraction form
    302,462.40/453,002.40 = 178,046.40/x
  3. Step 3: Cross multiply
    302,462.40x = 453,002.40 × 178,046.40
  4. Step 4: Simplify right side
    302,462.40x = 80,655,446,511.36
  5. Step 5: Solve for x
    x = 80,655,446,511.36/302,462.40
  6. Step 6: Final answer
    x = 266,662.72

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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.