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Finding the Fourth Proportional to 468,564.94, 646,136.31 and 400,806.19

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Solution

The fourth proportional to 468,564.94, 646,136.31 and 400,806.19 is: 552,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,564.94 : 646,136.31 = 400,806.19 : x
  2. Step 2: Convert to fraction form
    468,564.94/646,136.31 = 400,806.19/x
  3. Step 3: Cross multiply
    468,564.94x = 646,136.31 × 400,806.19
  4. Step 4: Simplify right side
    468,564.94x = 258,975,432,631.76
  5. Step 5: Solve for x
    x = 258,975,432,631.76/468,564.94
  6. Step 6: Final answer
    x = 552,699.13

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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.