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Finding the Fourth Proportional to 314,413.83, 433,900.17 and 171,176.31

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Solution

The fourth proportional to 314,413.83, 433,900.17 and 171,176.31 is: 236,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,413.83 : 433,900.17 = 171,176.31 : x
  2. Step 2: Convert to fraction form
    314,413.83/433,900.17 = 171,176.31/x
  3. Step 3: Cross multiply
    314,413.83x = 433,900.17 × 171,176.31
  4. Step 4: Simplify right side
    314,413.83x = 74,273,430,008.97
  5. Step 5: Solve for x
    x = 74,273,430,008.97/314,413.83
  6. Step 6: Final answer
    x = 236,228.25

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1.5x scale

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.