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Finding the Fourth Proportional to 3,298,682.92, 4,948,798.74 and 1,024,091.14

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Solution

The fourth proportional to 3,298,682.92, 4,948,798.74 and 1,024,091.14 is: 1,536,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298,682.92 : 4,948,798.74 = 1,024,091.14 : x
  2. Step 2: Convert to fraction form
    3,298,682.92/4,948,798.74 = 1,024,091.14/x
  3. Step 3: Cross multiply
    3,298,682.92x = 4,948,798.74 × 1,024,091.14
  4. Step 4: Simplify right side
    3,298,682.92x = 5,068,020,943,277.16
  5. Step 5: Solve for x
    x = 5,068,020,943,277.16/3,298,682.92
  6. Step 6: Final answer
    x = 1,536,377.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.