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Finding the Fourth Proportional to 294,734.20, 406,733.16 and 160,598.20

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Solution

The fourth proportional to 294,734.20, 406,733.16 and 160,598.20 is: 221,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,734.20 : 406,733.16 = 160,598.20 : x
  2. Step 2: Convert to fraction form
    294,734.20/406,733.16 = 160,598.20/x
  3. Step 3: Cross multiply
    294,734.20x = 406,733.16 × 160,598.20
  4. Step 4: Simplify right side
    294,734.20x = 65,320,613,376.31
  5. Step 5: Solve for x
    x = 65,320,613,376.31/294,734.20
  6. Step 6: Final answer
    x = 221,625.50

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