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Finding the Fourth Proportional to 385,413.40, 538,334.60 and 385,413.40

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Solution

The fourth proportional to 385,413.40, 538,334.60 and 385,413.40 is: 538,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,413.40 : 538,334.60 = 385,413.40 : x
  2. Step 2: Convert to fraction form
    385,413.40/538,334.60 = 385,413.40/x
  3. Step 3: Cross multiply
    385,413.40x = 538,334.60 × 385,413.40
  4. Step 4: Simplify right side
    385,413.40x = 207,481,368,523.64
  5. Step 5: Solve for x
    x = 207,481,368,523.64/385,413.40
  6. Step 6: Final answer
    x = 538,334.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.