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Finding the Fourth Proportional to 272,029.40, 408,044.10 and 202,045.40

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Solution

The fourth proportional to 272,029.40, 408,044.10 and 202,045.40 is: 303,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,029.40 : 408,044.10 = 202,045.40 : x
  2. Step 2: Convert to fraction form
    272,029.40/408,044.10 = 202,045.40/x
  3. Step 3: Cross multiply
    272,029.40x = 408,044.10 × 202,045.40
  4. Step 4: Simplify right side
    272,029.40x = 82,443,433,402.14
  5. Step 5: Solve for x
    x = 82,443,433,402.14/272,029.40
  6. Step 6: Final answer
    x = 303,068.10

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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.