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Finding the Fourth Proportional to 738,496.23, 1,019,142.81 and 411,806.05

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Solution

The fourth proportional to 738,496.23, 1,019,142.81 and 411,806.05 is: 568,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,496.23 : 1,019,142.81 = 411,806.05 : x
  2. Step 2: Convert to fraction form
    738,496.23/1,019,142.81 = 411,806.05/x
  3. Step 3: Cross multiply
    738,496.23x = 1,019,142.81 × 411,806.05
  4. Step 4: Simplify right side
    738,496.23x = 419,689,174,537.79
  5. Step 5: Solve for x
    x = 419,689,174,537.79/738,496.23
  6. Step 6: Final answer
    x = 568,302.40

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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.