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Finding the Fourth Proportional to 1,008,029.15, 1,413,107.05 and 1,008,029.15

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Solution

The fourth proportional to 1,008,029.15, 1,413,107.05 and 1,008,029.15 is: 1,413,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,029.15 : 1,413,107.05 = 1,008,029.15 : x
  2. Step 2: Convert to fraction form
    1,008,029.15/1,413,107.05 = 1,008,029.15/x
  3. Step 3: Cross multiply
    1,008,029.15x = 1,413,107.05 × 1,008,029.15
  4. Step 4: Simplify right side
    1,008,029.15x = 1,424,453,098,470.51
  5. Step 5: Solve for x
    x = 1,424,453,098,470.51/1,008,029.15
  6. Step 6: Final answer
    x = 1,413,107.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.