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Finding the Fourth Proportional to 294,780.96, 406,798.08 and 160,644.96

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Solution

The fourth proportional to 294,780.96, 406,798.08 and 160,644.96 is: 221,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,780.96 : 406,798.08 = 160,644.96 : x
  2. Step 2: Convert to fraction form
    294,780.96/406,798.08 = 160,644.96/x
  3. Step 3: Cross multiply
    294,780.96x = 406,798.08 × 160,644.96
  4. Step 4: Simplify right side
    294,780.96x = 65,350,061,289.68
  5. Step 5: Solve for x
    x = 65,350,061,289.68/294,780.96
  6. Step 6: Final answer
    x = 221,690.24

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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.