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Finding the Fourth Proportional to 343,782.96, 474,413.14 and 190,812.24

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Solution

The fourth proportional to 343,782.96, 474,413.14 and 190,812.24 is: 263,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,782.96 : 474,413.14 = 190,812.24 : x
  2. Step 2: Convert to fraction form
    343,782.96/474,413.14 = 190,812.24/x
  3. Step 3: Cross multiply
    343,782.96x = 474,413.14 × 190,812.24
  4. Step 4: Simplify right side
    343,782.96x = 90,523,833,928.83
  5. Step 5: Solve for x
    x = 90,523,833,928.83/343,782.96
  6. Step 6: Final answer
    x = 263,316.81

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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.