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Finding the Fourth Proportional to 302,494.38, 454,022.12 and 152,839.77

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Solution

The fourth proportional to 302,494.38, 454,022.12 and 152,839.77 is: 229,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,494.38 : 454,022.12 = 152,839.77 : x
  2. Step 2: Convert to fraction form
    302,494.38/454,022.12 = 152,839.77/x
  3. Step 3: Cross multiply
    302,494.38x = 454,022.12 × 152,839.77
  4. Step 4: Simplify right side
    302,494.38x = 69,392,635,075.23
  5. Step 5: Solve for x
    x = 69,392,635,075.23/302,494.38
  6. Step 6: Final answer
    x = 229,401.40

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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.