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Finding the Fourth Proportional to 296,030.22, 408,520.83 and 160,063.20

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Solution

The fourth proportional to 296,030.22, 408,520.83 and 160,063.20 is: 220,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,030.22 : 408,520.83 = 160,063.20 : x
  2. Step 2: Convert to fraction form
    296,030.22/408,520.83 = 160,063.20/x
  3. Step 3: Cross multiply
    296,030.22x = 408,520.83 × 160,063.20
  4. Step 4: Simplify right side
    296,030.22x = 65,389,151,316.46
  5. Step 5: Solve for x
    x = 65,389,151,316.46/296,030.22
  6. Step 6: Final answer
    x = 220,886.74

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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.