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Finding the Fourth Proportional to 296,473.65, 409,133.78 and 160,507.62

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Solution

The fourth proportional to 296,473.65, 409,133.78 and 160,507.62 is: 221,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,473.65 : 409,133.78 = 160,507.62 : x
  2. Step 2: Convert to fraction form
    296,473.65/409,133.78 = 160,507.62/x
  3. Step 3: Cross multiply
    296,473.65x = 409,133.78 × 160,507.62
  4. Step 4: Simplify right side
    296,473.65x = 65,669,089,289.40
  5. Step 5: Solve for x
    x = 65,669,089,289.40/296,473.65
  6. Step 6: Final answer
    x = 221,500.59

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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.