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Finding the Fourth Proportional to 382,127.40, 573,191.10 and 157,413.15

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Solution

The fourth proportional to 382,127.40, 573,191.10 and 157,413.15 is: 236,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,127.40 : 573,191.10 = 157,413.15 : x
  2. Step 2: Convert to fraction form
    382,127.40/573,191.10 = 157,413.15/x
  3. Step 3: Cross multiply
    382,127.40x = 573,191.10 × 157,413.15
  4. Step 4: Simplify right side
    382,127.40x = 90,227,816,602.97
  5. Step 5: Solve for x
    x = 90,227,816,602.97/382,127.40
  6. Step 6: Final answer
    x = 236,119.73

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Similar ratio
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1.5x scale

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.