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Finding the Fourth Proportional to 430,559.66, 645,440.13 and 190,545.97

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Solution

The fourth proportional to 430,559.66, 645,440.13 and 190,545.97 is: 285,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,559.66 : 645,440.13 = 190,545.97 : x
  2. Step 2: Convert to fraction form
    430,559.66/645,440.13 = 190,545.97/x
  3. Step 3: Cross multiply
    430,559.66x = 645,440.13 × 190,545.97
  4. Step 4: Simplify right side
    430,559.66x = 122,986,015,647.78
  5. Step 5: Solve for x
    x = 122,986,015,647.78/430,559.66
  6. Step 6: Final answer
    x = 285,642.22

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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.