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Finding the Fourth Proportional to 296,206.63, 408,763.24 and 160,240.03

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Solution

The fourth proportional to 296,206.63, 408,763.24 and 160,240.03 is: 221,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,206.63 : 408,763.24 = 160,240.03 : x
  2. Step 2: Convert to fraction form
    296,206.63/408,763.24 = 160,240.03/x
  3. Step 3: Cross multiply
    296,206.63x = 408,763.24 × 160,240.03
  4. Step 4: Simplify right side
    296,206.63x = 65,500,233,840.50
  5. Step 5: Solve for x
    x = 65,500,233,840.50/296,206.63
  6. Step 6: Final answer
    x = 221,130.21

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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.