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Finding the Fourth Proportional to 570,413.84, 787,171.26 and 315,765.02

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Solution

The fourth proportional to 570,413.84, 787,171.26 and 315,765.02 is: 435,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,413.84 : 787,171.26 = 315,765.02 : x
  2. Step 2: Convert to fraction form
    570,413.84/787,171.26 = 315,765.02/x
  3. Step 3: Cross multiply
    570,413.84x = 787,171.26 × 315,765.02
  4. Step 4: Simplify right side
    570,413.84x = 248,561,144,721.47
  5. Step 5: Solve for x
    x = 248,561,144,721.47/570,413.84
  6. Step 6: Final answer
    x = 435,755.81

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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.