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Finding the Fourth Proportional to 1,097,357.10, 1,646,035.65 and 1,023,629.10

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Solution

The fourth proportional to 1,097,357.10, 1,646,035.65 and 1,023,629.10 is: 1,535,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,357.10 : 1,646,035.65 = 1,023,629.10 : x
  2. Step 2: Convert to fraction form
    1,097,357.10/1,646,035.65 = 1,023,629.10/x
  3. Step 3: Cross multiply
    1,097,357.10x = 1,646,035.65 × 1,023,629.10
  4. Step 4: Simplify right side
    1,097,357.10x = 1,684,929,990,977.41
  5. Step 5: Solve for x
    x = 1,684,929,990,977.41/1,097,357.10
  6. Step 6: Final answer
    x = 1,535,443.65

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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.