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Finding the Fourth Proportional to 287,701.53, 397,013.58 and 160,352.52

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Solution

The fourth proportional to 287,701.53, 397,013.58 and 160,352.52 is: 221,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,701.53 : 397,013.58 = 160,352.52 : x
  2. Step 2: Convert to fraction form
    287,701.53/397,013.58 = 160,352.52/x
  3. Step 3: Cross multiply
    287,701.53x = 397,013.58 × 160,352.52
  4. Step 4: Simplify right side
    287,701.53x = 63,662,128,027.22
  5. Step 5: Solve for x
    x = 63,662,128,027.22/287,701.53
  6. Step 6: Final answer
    x = 221,278.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.