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Finding the Fourth Proportional to 456,898.38, 684,837.81 and 190,570.38

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Solution

The fourth proportional to 456,898.38, 684,837.81 and 190,570.38 is: 285,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,898.38 : 684,837.81 = 190,570.38 : x
  2. Step 2: Convert to fraction form
    456,898.38/684,837.81 = 190,570.38/x
  3. Step 3: Cross multiply
    456,898.38x = 684,837.81 × 190,570.38
  4. Step 4: Simplify right side
    456,898.38x = 130,509,801,690.07
  5. Step 5: Solve for x
    x = 130,509,801,690.07/456,898.38
  6. Step 6: Final answer
    x = 285,642.95

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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.