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Finding the Fourth Proportional to 265,495.68, 397,307.64 and 165,702.60

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Solution

The fourth proportional to 265,495.68, 397,307.64 and 165,702.60 is: 247,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,495.68 : 397,307.64 = 165,702.60 : x
  2. Step 2: Convert to fraction form
    265,495.68/397,307.64 = 165,702.60/x
  3. Step 3: Cross multiply
    265,495.68x = 397,307.64 × 165,702.60
  4. Step 4: Simplify right side
    265,495.68x = 65,834,908,947.86
  5. Step 5: Solve for x
    x = 65,834,908,947.86/265,495.68
  6. Step 6: Final answer
    x = 247,969.79

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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.