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Finding the Fourth Proportional to 272,004.30, 408,006.45 and 161,412.30

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Solution

The fourth proportional to 272,004.30, 408,006.45 and 161,412.30 is: 242,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,004.30 : 408,006.45 = 161,412.30 : x
  2. Step 2: Convert to fraction form
    272,004.30/408,006.45 = 161,412.30/x
  3. Step 3: Cross multiply
    272,004.30x = 408,006.45 × 161,412.30
  4. Step 4: Simplify right side
    272,004.30x = 65,857,259,509.34
  5. Step 5: Solve for x
    x = 65,857,259,509.34/272,004.30
  6. Step 6: Final answer
    x = 242,118.45

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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.