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Finding the Fourth Proportional to 296,303.09, 408,899.34 and 160,337.03

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Solution

The fourth proportional to 296,303.09, 408,899.34 and 160,337.03 is: 221,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,303.09 : 408,899.34 = 160,337.03 : x
  2. Step 2: Convert to fraction form
    296,303.09/408,899.34 = 160,337.03/x
  3. Step 3: Cross multiply
    296,303.09x = 408,899.34 × 160,337.03
  4. Step 4: Simplify right side
    296,303.09x = 65,561,705,744.56
  5. Step 5: Solve for x
    x = 65,561,705,744.56/296,303.09
  6. Step 6: Final answer
    x = 221,265.68

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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.