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Finding the Fourth Proportional to 264,901.60, 397,602 and 96,584.56

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Solution

The fourth proportional to 264,901.60, 397,602 and 96,584.56 is: 144,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,901.60 : 397,602 = 96,584.56 : x
  2. Step 2: Convert to fraction form
    264,901.60/397,602 = 96,584.56/x
  3. Step 3: Cross multiply
    264,901.60x = 397,602 × 96,584.56
  4. Step 4: Simplify right side
    264,901.60x = 38,402,214,225.12
  5. Step 5: Solve for x
    x = 38,402,214,225.12/264,901.60
  6. Step 6: Final answer
    x = 144,967.85

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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.