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Finding the Fourth Proportional to 418,898.14, 578,093.84 and 227,918.77

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Solution

The fourth proportional to 418,898.14, 578,093.84 and 227,918.77 is: 314,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,898.14 : 578,093.84 = 227,918.77 : x
  2. Step 2: Convert to fraction form
    418,898.14/578,093.84 = 227,918.77/x
  3. Step 3: Cross multiply
    418,898.14x = 578,093.84 × 227,918.77
  4. Step 4: Simplify right side
    418,898.14x = 131,758,436,957.38
  5. Step 5: Solve for x
    x = 131,758,436,957.38/418,898.14
  6. Step 6: Final answer
    x = 314,535.74

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1.5x scale

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.