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Finding the Fourth Proportional to 407,756.50, 562,703.97 and 228,908.50

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Solution

The fourth proportional to 407,756.50, 562,703.97 and 228,908.50 is: 315,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,756.50 : 562,703.97 = 228,908.50 : x
  2. Step 2: Convert to fraction form
    407,756.50/562,703.97 = 228,908.50/x
  3. Step 3: Cross multiply
    407,756.50x = 562,703.97 × 228,908.50
  4. Step 4: Simplify right side
    407,756.50x = 128,807,721,716.75
  5. Step 5: Solve for x
    x = 128,807,721,716.75/407,756.50
  6. Step 6: Final answer
    x = 315,893.73

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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.