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Finding the Fourth Proportional to 294,732.06, 406,730.24 and 160,596.06

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Solution

The fourth proportional to 294,732.06, 406,730.24 and 160,596.06 is: 221,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,732.06 : 406,730.24 = 160,596.06 : x
  2. Step 2: Convert to fraction form
    294,732.06/406,730.24 = 160,596.06/x
  3. Step 3: Cross multiply
    294,732.06x = 406,730.24 × 160,596.06
  4. Step 4: Simplify right side
    294,732.06x = 65,319,274,026.85
  5. Step 5: Solve for x
    x = 65,319,274,026.85/294,732.06
  6. Step 6: Final answer
    x = 221,622.56

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1.5x scale

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.