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Finding the Fourth Proportional to 304,966.84, 420,842.95 and 175,910.66

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Solution

The fourth proportional to 304,966.84, 420,842.95 and 175,910.66 is: 242,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,966.84 : 420,842.95 = 175,910.66 : x
  2. Step 2: Convert to fraction form
    304,966.84/420,842.95 = 175,910.66/x
  3. Step 3: Cross multiply
    304,966.84x = 420,842.95 × 175,910.66
  4. Step 4: Simplify right side
    304,966.84x = 74,030,761,090.85
  5. Step 5: Solve for x
    x = 74,030,761,090.85/304,966.84
  6. Step 6: Final answer
    x = 242,750.20

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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.