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Finding the Fourth Proportional to 506,408, 698,814.66 and 276,919.76

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Solution

The fourth proportional to 506,408, 698,814.66 and 276,919.76 is: 382,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,408 : 698,814.66 = 276,919.76 : x
  2. Step 2: Convert to fraction form
    506,408/698,814.66 = 276,919.76/x
  3. Step 3: Cross multiply
    506,408x = 698,814.66 × 276,919.76
  4. Step 4: Simplify right side
    506,408x = 193,515,587,931.68
  5. Step 5: Solve for x
    x = 193,515,587,931.68/506,408
  6. Step 6: Final answer
    x = 382,133.75

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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.