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Finding the Fourth Proportional to 302,944.84, 418,065.54 and 175,695.88

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Solution

The fourth proportional to 302,944.84, 418,065.54 and 175,695.88 is: 242,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,944.84 : 418,065.54 = 175,695.88 : x
  2. Step 2: Convert to fraction form
    302,944.84/418,065.54 = 175,695.88/x
  3. Step 3: Cross multiply
    302,944.84x = 418,065.54 × 175,695.88
  4. Step 4: Simplify right side
    302,944.84x = 73,452,392,947.98
  5. Step 5: Solve for x
    x = 73,452,392,947.98/302,944.84
  6. Step 6: Final answer
    x = 242,461.28

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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.