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Finding the Fourth Proportional to 430,061.81, 644,731.85 and 190,136.97

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Solution

The fourth proportional to 430,061.81, 644,731.85 and 190,136.97 is: 285,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,061.81 : 644,731.85 = 190,136.97 : x
  2. Step 2: Convert to fraction form
    430,061.81/644,731.85 = 190,136.97/x
  3. Step 3: Cross multiply
    430,061.81x = 644,731.85 × 190,136.97
  4. Step 4: Simplify right side
    430,061.81x = 122,587,360,896.84
  5. Step 5: Solve for x
    x = 122,587,360,896.84/430,061.81
  6. Step 6: Final answer
    x = 285,045.92

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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.