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Finding the Fourth Proportional to 1,157,181.57, 1,728,734.85 and 749,048.90

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Solution

The fourth proportional to 1,157,181.57, 1,728,734.85 and 749,048.90 is: 1,119,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,181.57 : 1,728,734.85 = 749,048.90 : x
  2. Step 2: Convert to fraction form
    1,157,181.57/1,728,734.85 = 749,048.90/x
  3. Step 3: Cross multiply
    1,157,181.57x = 1,728,734.85 × 749,048.90
  4. Step 4: Simplify right side
    1,157,181.57x = 1,294,906,937,784.17
  5. Step 5: Solve for x
    x = 1,294,906,937,784.17/1,157,181.57
  6. Step 6: Final answer
    x = 1,119,017.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.