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Finding the Fourth Proportional to 547,670.30, 822,023.85 and 337,718.30

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Solution

The fourth proportional to 547,670.30, 822,023.85 and 337,718.30 is: 506,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,670.30 : 822,023.85 = 337,718.30 : x
  2. Step 2: Convert to fraction form
    547,670.30/822,023.85 = 337,718.30/x
  3. Step 3: Cross multiply
    547,670.30x = 822,023.85 × 337,718.30
  4. Step 4: Simplify right side
    547,670.30x = 277,612,497,181.46
  5. Step 5: Solve for x
    x = 277,612,497,181.46/547,670.30
  6. Step 6: Final answer
    x = 506,897.12

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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.