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Finding the Fourth Proportional to 222,710, 334,084.44 and 56,498

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Solution

The fourth proportional to 222,710, 334,084.44 and 56,498 is: 84,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,710 : 334,084.44 = 56,498 : x
  2. Step 2: Convert to fraction form
    222,710/334,084.44 = 56,498/x
  3. Step 3: Cross multiply
    222,710x = 334,084.44 × 56,498
  4. Step 4: Simplify right side
    222,710x = 18,875,102,691.12
  5. Step 5: Solve for x
    x = 18,875,102,691.12/222,710
  6. Step 6: Final answer
    x = 84,751.93

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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.