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Finding the Fourth Proportional to 1,102,004.20, 1,539,656.60 and 1,102,004.20

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Solution

The fourth proportional to 1,102,004.20, 1,539,656.60 and 1,102,004.20 is: 1,539,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,004.20 : 1,539,656.60 = 1,102,004.20 : x
  2. Step 2: Convert to fraction form
    1,102,004.20/1,539,656.60 = 1,102,004.20/x
  3. Step 3: Cross multiply
    1,102,004.20x = 1,539,656.60 × 1,102,004.20
  4. Step 4: Simplify right side
    1,102,004.20x = 1,696,708,039,757.72
  5. Step 5: Solve for x
    x = 1,696,708,039,757.72/1,102,004.20
  6. Step 6: Final answer
    x = 1,539,656.60

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