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Finding the Fourth Proportional to 540,633.54, 746,044.16 and 298,902

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Solution

The fourth proportional to 540,633.54, 746,044.16 and 298,902 is: 412,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,633.54 : 746,044.16 = 298,902 : x
  2. Step 2: Convert to fraction form
    540,633.54/746,044.16 = 298,902/x
  3. Step 3: Cross multiply
    540,633.54x = 746,044.16 × 298,902
  4. Step 4: Simplify right side
    540,633.54x = 222,994,090,017.81
  5. Step 5: Solve for x
    x = 222,994,090,017.81/540,633.54
  6. Step 6: Final answer
    x = 412,468.10

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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.