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Finding the Fourth Proportional to 296,521.56, 409,199.16 and 160,555.64

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Solution

The fourth proportional to 296,521.56, 409,199.16 and 160,555.64 is: 221,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,521.56 : 409,199.16 = 160,555.64 : x
  2. Step 2: Convert to fraction form
    296,521.56/409,199.16 = 160,555.64/x
  3. Step 3: Cross multiply
    296,521.56x = 409,199.16 × 160,555.64
  4. Step 4: Simplify right side
    296,521.56x = 65,699,233,021.26
  5. Step 5: Solve for x
    x = 65,699,233,021.26/296,521.56
  6. Step 6: Final answer
    x = 221,566.46

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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.