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Finding the Fourth Proportional to 468,978.66, 647,413.74 and 314,196.48

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Solution

The fourth proportional to 468,978.66, 647,413.74 and 314,196.48 is: 433,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,978.66 : 647,413.74 = 314,196.48 : x
  2. Step 2: Convert to fraction form
    468,978.66/647,413.74 = 314,196.48/x
  3. Step 3: Cross multiply
    468,978.66x = 647,413.74 × 314,196.48
  4. Step 4: Simplify right side
    468,978.66x = 203,415,118,211.64
  5. Step 5: Solve for x
    x = 203,415,118,211.64/468,978.66
  6. Step 6: Final answer
    x = 433,740.67

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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.