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Finding the Fourth Proportional to 264,902.60, 397,603.50 and 96,585.56

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Solution

The fourth proportional to 264,902.60, 397,603.50 and 96,585.56 is: 144,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,902.60 : 397,603.50 = 96,585.56 : x
  2. Step 2: Convert to fraction form
    264,902.60/397,603.50 = 96,585.56/x
  3. Step 3: Cross multiply
    264,902.60x = 397,603.50 × 96,585.56
  4. Step 4: Simplify right side
    264,902.60x = 38,402,756,705.46
  5. Step 5: Solve for x
    x = 38,402,756,705.46/264,902.60
  6. Step 6: Final answer
    x = 144,969.35

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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.