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Finding the Fourth Proportional to 296,479.76, 409,139.22 and 160,510.22

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Solution

The fourth proportional to 296,479.76, 409,139.22 and 160,510.22 is: 221,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,479.76 : 409,139.22 = 160,510.22 : x
  2. Step 2: Convert to fraction form
    296,479.76/409,139.22 = 160,510.22/x
  3. Step 3: Cross multiply
    296,479.76x = 409,139.22 × 160,510.22
  4. Step 4: Simplify right side
    296,479.76x = 65,671,026,212.83
  5. Step 5: Solve for x
    x = 65,671,026,212.83/296,479.76
  6. Step 6: Final answer
    x = 221,502.56

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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.