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Finding the Fourth Proportional to 522,478.86, 782,211.69 and 468,455.10

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Solution

The fourth proportional to 522,478.86, 782,211.69 and 468,455.10 is: 701,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,478.86 : 782,211.69 = 468,455.10 : x
  2. Step 2: Convert to fraction form
    522,478.86/782,211.69 = 468,455.10/x
  3. Step 3: Cross multiply
    522,478.86x = 782,211.69 × 468,455.10
  4. Step 4: Simplify right side
    522,478.86x = 366,431,055,460.12
  5. Step 5: Solve for x
    x = 366,431,055,460.12/522,478.86
  6. Step 6: Final answer
    x = 701,331.83

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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.