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Finding the Fourth Proportional to 302,943.84, 418,064.16 and 175,694.88

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Solution

The fourth proportional to 302,943.84, 418,064.16 and 175,694.88 is: 242,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,943.84 : 418,064.16 = 175,694.88 : x
  2. Step 2: Convert to fraction form
    302,943.84/418,064.16 = 175,694.88/x
  3. Step 3: Cross multiply
    302,943.84x = 418,064.16 × 175,694.88
  4. Step 4: Simplify right side
    302,943.84x = 73,451,732,423.50
  5. Step 5: Solve for x
    x = 73,451,732,423.50/302,943.84
  6. Step 6: Final answer
    x = 242,459.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.