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Finding the Fourth Proportional to 272,004.70, 408,007.05 and 209,796.70

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Solution

The fourth proportional to 272,004.70, 408,007.05 and 209,796.70 is: 314,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,004.70 : 408,007.05 = 209,796.70 : x
  2. Step 2: Convert to fraction form
    272,004.70/408,007.05 = 209,796.70/x
  3. Step 3: Cross multiply
    272,004.70x = 408,007.05 × 209,796.70
  4. Step 4: Simplify right side
    272,004.70x = 85,598,532,666.74
  5. Step 5: Solve for x
    x = 85,598,532,666.74/272,004.70
  6. Step 6: Final answer
    x = 314,695.05

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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.