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Finding the Fourth Proportional to 1,008,025.90, 1,413,102.50 and 1,008,025.90

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Solution

The fourth proportional to 1,008,025.90, 1,413,102.50 and 1,008,025.90 is: 1,413,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,025.90 : 1,413,102.50 = 1,008,025.90 : x
  2. Step 2: Convert to fraction form
    1,008,025.90/1,413,102.50 = 1,008,025.90/x
  3. Step 3: Cross multiply
    1,008,025.90x = 1,413,102.50 × 1,008,025.90
  4. Step 4: Simplify right side
    1,008,025.90x = 1,424,443,919,354.75
  5. Step 5: Solve for x
    x = 1,424,443,919,354.75/1,008,025.90
  6. Step 6: Final answer
    x = 1,413,102.50

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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.