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Finding the Fourth Proportional to 468,564.96, 646,136.36 and 400,806.24

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Solution

The fourth proportional to 468,564.96, 646,136.36 and 400,806.24 is: 552,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,564.96 : 646,136.36 = 400,806.24 : x
  2. Step 2: Convert to fraction form
    468,564.96/646,136.36 = 400,806.24/x
  3. Step 3: Cross multiply
    468,564.96x = 646,136.36 × 400,806.24
  4. Step 4: Simplify right side
    468,564.96x = 258,975,482,974.86
  5. Step 5: Solve for x
    x = 258,975,482,974.86/468,564.96
  6. Step 6: Final answer
    x = 552,699.21

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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.