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Finding the Fourth Proportional to 1,314,009.90, 1,971,014.85 and 1,314,009.90

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Solution

The fourth proportional to 1,314,009.90, 1,971,014.85 and 1,314,009.90 is: 1,971,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,009.90 : 1,971,014.85 = 1,314,009.90 : x
  2. Step 2: Convert to fraction form
    1,314,009.90/1,971,014.85 = 1,314,009.90/x
  3. Step 3: Cross multiply
    1,314,009.90x = 1,971,014.85 × 1,314,009.90
  4. Step 4: Simplify right side
    1,314,009.90x = 2,589,933,025,947.02
  5. Step 5: Solve for x
    x = 2,589,933,025,947.02/1,314,009.90
  6. Step 6: Final answer
    x = 1,971,014.85

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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.