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Finding the Fourth Proportional to 302,934.30, 454,401.45 and 256,278.30

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Solution

The fourth proportional to 302,934.30, 454,401.45 and 256,278.30 is: 384,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,934.30 : 454,401.45 = 256,278.30 : x
  2. Step 2: Convert to fraction form
    302,934.30/454,401.45 = 256,278.30/x
  3. Step 3: Cross multiply
    302,934.30x = 454,401.45 × 256,278.30
  4. Step 4: Simplify right side
    302,934.30x = 116,453,231,123.54
  5. Step 5: Solve for x
    x = 116,453,231,123.54/302,934.30
  6. Step 6: Final answer
    x = 384,417.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.