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Finding the Fourth Proportional to 466,413.39, 698,498.93 and 266,126.58

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Solution

The fourth proportional to 466,413.39, 698,498.93 and 266,126.58 is: 398,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,413.39 : 698,498.93 = 266,126.58 : x
  2. Step 2: Convert to fraction form
    466,413.39/698,498.93 = 266,126.58/x
  3. Step 3: Cross multiply
    466,413.39x = 698,498.93 × 266,126.58
  4. Step 4: Simplify right side
    466,413.39x = 185,889,132,039.88
  5. Step 5: Solve for x
    x = 185,889,132,039.88/466,413.39
  6. Step 6: Final answer
    x = 398,550.16

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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.