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Finding the Fourth Proportional to 296,467.66, 409,124.86 and 160,501.56

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Solution

The fourth proportional to 296,467.66, 409,124.86 and 160,501.56 is: 221,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,467.66 : 409,124.86 = 160,501.56 : x
  2. Step 2: Convert to fraction form
    296,467.66/409,124.86 = 160,501.56/x
  3. Step 3: Cross multiply
    296,467.66x = 409,124.86 × 160,501.56
  4. Step 4: Simplify right side
    296,467.66x = 65,665,178,264.78
  5. Step 5: Solve for x
    x = 65,665,178,264.78/296,467.66
  6. Step 6: Final answer
    x = 221,491.88

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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.