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Finding the Fourth Proportional to 506,929.64, 699,552.33 and 277,481.30

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Solution

The fourth proportional to 506,929.64, 699,552.33 and 277,481.30 is: 382,918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,929.64 : 699,552.33 = 277,481.30 : x
  2. Step 2: Convert to fraction form
    506,929.64/699,552.33 = 277,481.30/x
  3. Step 3: Cross multiply
    506,929.64x = 699,552.33 × 277,481.30
  4. Step 4: Simplify right side
    506,929.64x = 194,112,689,946.43
  5. Step 5: Solve for x
    x = 194,112,689,946.43/506,929.64
  6. Step 6: Final answer
    x = 382,918.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.