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Finding the Fourth Proportional to 302,592.40, 453,197.40 and 178,176.40

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Solution

The fourth proportional to 302,592.40, 453,197.40 and 178,176.40 is: 266,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,592.40 : 453,197.40 = 178,176.40 : x
  2. Step 2: Convert to fraction form
    302,592.40/453,197.40 = 178,176.40/x
  3. Step 3: Cross multiply
    302,592.40x = 453,197.40 × 178,176.40
  4. Step 4: Simplify right side
    302,592.40x = 80,749,081,221.36
  5. Step 5: Solve for x
    x = 80,749,081,221.36/302,592.40
  6. Step 6: Final answer
    x = 266,857.60

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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.