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Finding the Fourth Proportional to 536,685.96, 740,644.42 and 294,977.16

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Solution

The fourth proportional to 536,685.96, 740,644.42 and 294,977.16 is: 407,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,685.96 : 740,644.42 = 294,977.16 : x
  2. Step 2: Convert to fraction form
    536,685.96/740,644.42 = 294,977.16/x
  3. Step 3: Cross multiply
    536,685.96x = 740,644.42 × 294,977.16
  4. Step 4: Simplify right side
    536,685.96x = 218,473,187,581.45
  5. Step 5: Solve for x
    x = 218,473,187,581.45/536,685.96
  6. Step 6: Final answer
    x = 407,078.26

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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.