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Finding the Fourth Proportional to 294,734.72, 406,730.88 and 160,599.68

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Solution

The fourth proportional to 294,734.72, 406,730.88 and 160,599.68 is: 221,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,734.72 : 406,730.88 = 160,599.68 : x
  2. Step 2: Convert to fraction form
    294,734.72/406,730.88 = 160,599.68/x
  3. Step 3: Cross multiply
    294,734.72x = 406,730.88 × 160,599.68
  4. Step 4: Simplify right side
    294,734.72x = 65,320,849,174.12
  5. Step 5: Solve for x
    x = 65,320,849,174.12/294,734.72
  6. Step 6: Final answer
    x = 221,625.91

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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.