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Finding the Fourth Proportional to 504,348, 696,000.24 and 277,998.36

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Solution

The fourth proportional to 504,348, 696,000.24 and 277,998.36 is: 383,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,348 : 696,000.24 = 277,998.36 : x
  2. Step 2: Convert to fraction form
    504,348/696,000.24 = 277,998.36/x
  3. Step 3: Cross multiply
    504,348x = 696,000.24 × 277,998.36
  4. Step 4: Simplify right side
    504,348x = 193,486,925,279.61
  5. Step 5: Solve for x
    x = 193,486,925,279.61/504,348
  6. Step 6: Final answer
    x = 383,637.74

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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.