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Finding the Fourth Proportional to 273,897.60, 410,907.60 and 96,410.40

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Solution

The fourth proportional to 273,897.60, 410,907.60 and 96,410.40 is: 144,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,897.60 : 410,907.60 = 96,410.40 : x
  2. Step 2: Convert to fraction form
    273,897.60/410,907.60 = 96,410.40/x
  3. Step 3: Cross multiply
    273,897.60x = 410,907.60 × 96,410.40
  4. Step 4: Simplify right side
    273,897.60x = 39,615,766,079.04
  5. Step 5: Solve for x
    x = 39,615,766,079.04/273,897.60
  6. Step 6: Final answer
    x = 144,637.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.