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Finding the Fourth Proportional to 296,576.51, 409,275.96 and 160,610.68

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Solution

The fourth proportional to 296,576.51, 409,275.96 and 160,610.68 is: 221,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,576.51 : 409,275.96 = 160,610.68 : x
  2. Step 2: Convert to fraction form
    296,576.51/409,275.96 = 160,610.68/x
  3. Step 3: Cross multiply
    296,576.51x = 409,275.96 × 160,610.68
  4. Step 4: Simplify right side
    296,576.51x = 65,734,088,196.87
  5. Step 5: Solve for x
    x = 65,734,088,196.87/296,576.51
  6. Step 6: Final answer
    x = 221,642.94

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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.