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Finding the Fourth Proportional to 272,014.70, 408,022.05 and 209,806.70

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Solution

The fourth proportional to 272,014.70, 408,022.05 and 209,806.70 is: 314,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,014.70 : 408,022.05 = 209,806.70 : x
  2. Step 2: Convert to fraction form
    272,014.70/408,022.05 = 209,806.70/x
  3. Step 3: Cross multiply
    272,014.70x = 408,022.05 × 209,806.70
  4. Step 4: Simplify right side
    272,014.70x = 85,605,759,837.74
  5. Step 5: Solve for x
    x = 85,605,759,837.74/272,014.70
  6. Step 6: Final answer
    x = 314,710.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.