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Finding the Fourth Proportional to 272,031.40, 408,047.10 and 202,047.40

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Solution

The fourth proportional to 272,031.40, 408,047.10 and 202,047.40 is: 303,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,031.40 : 408,047.10 = 202,047.40 : x
  2. Step 2: Convert to fraction form
    272,031.40/408,047.10 = 202,047.40/x
  3. Step 3: Cross multiply
    272,031.40x = 408,047.10 × 202,047.40
  4. Step 4: Simplify right side
    272,031.40x = 82,444,855,632.54
  5. Step 5: Solve for x
    x = 82,444,855,632.54/272,031.40
  6. Step 6: Final answer
    x = 303,071.10

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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.