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Finding the Fourth Proportional to 276,645.60, 414,968.40 and 260,024.40

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Solution

The fourth proportional to 276,645.60, 414,968.40 and 260,024.40 is: 390,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,645.60 : 414,968.40 = 260,024.40 : x
  2. Step 2: Convert to fraction form
    276,645.60/414,968.40 = 260,024.40/x
  3. Step 3: Cross multiply
    276,645.60x = 414,968.40 × 260,024.40
  4. Step 4: Simplify right side
    276,645.60x = 107,901,909,228.96
  5. Step 5: Solve for x
    x = 107,901,909,228.96/276,645.60
  6. Step 6: Final answer
    x = 390,036.60

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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.