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Finding the Fourth Proportional to 296,480.06, 409,139.50 and 160,510.40

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Solution

The fourth proportional to 296,480.06, 409,139.50 and 160,510.40 is: 221,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,480.06 : 409,139.50 = 160,510.40 : x
  2. Step 2: Convert to fraction form
    296,480.06/409,139.50 = 160,510.40/x
  3. Step 3: Cross multiply
    296,480.06x = 409,139.50 × 160,510.40
  4. Step 4: Simplify right side
    296,480.06x = 65,671,144,800.80
  5. Step 5: Solve for x
    x = 65,671,144,800.80/296,480.06
  6. Step 6: Final answer
    x = 221,502.74

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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.