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Finding the Fourth Proportional to 452,032.92, 623,891.43 and 299,074.14

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Solution

The fourth proportional to 452,032.92, 623,891.43 and 299,074.14 is: 412,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,032.92 : 623,891.43 = 299,074.14 : x
  2. Step 2: Convert to fraction form
    452,032.92/623,891.43 = 299,074.14/x
  3. Step 3: Cross multiply
    452,032.92x = 623,891.43 × 299,074.14
  4. Step 4: Simplify right side
    452,032.92x = 186,589,792,880.62
  5. Step 5: Solve for x
    x = 186,589,792,880.62/452,032.92
  6. Step 6: Final answer
    x = 412,779.21

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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.