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Finding the Fourth Proportional to 506,076.11, 697,932.71 and 419,898.65

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Solution

The fourth proportional to 506,076.11, 697,932.71 and 419,898.65 is: 579,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,076.11 : 697,932.71 = 419,898.65 : x
  2. Step 2: Convert to fraction form
    506,076.11/697,932.71 = 419,898.65/x
  3. Step 3: Cross multiply
    506,076.11x = 697,932.71 × 419,898.65
  4. Step 4: Simplify right side
    506,076.11x = 293,061,000,620.35
  5. Step 5: Solve for x
    x = 293,061,000,620.35/506,076.11
  6. Step 6: Final answer
    x = 579,084.83

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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.