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Finding the Fourth Proportional to 302,743.20, 454,114.80 and 209,431.20

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Solution

The fourth proportional to 302,743.20, 454,114.80 and 209,431.20 is: 314,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,743.20 : 454,114.80 = 209,431.20 : x
  2. Step 2: Convert to fraction form
    302,743.20/454,114.80 = 209,431.20/x
  3. Step 3: Cross multiply
    302,743.20x = 454,114.80 × 209,431.20
  4. Step 4: Simplify right side
    302,743.20x = 95,105,807,501.76
  5. Step 5: Solve for x
    x = 95,105,807,501.76/302,743.20
  6. Step 6: Final answer
    x = 314,146.80

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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.