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Finding the Fourth Proportional to 461,413.80, 692,120.70 and 283,343.40

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Solution

The fourth proportional to 461,413.80, 692,120.70 and 283,343.40 is: 425,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,413.80 : 692,120.70 = 283,343.40 : x
  2. Step 2: Convert to fraction form
    461,413.80/692,120.70 = 283,343.40/x
  3. Step 3: Cross multiply
    461,413.80x = 692,120.70 × 283,343.40
  4. Step 4: Simplify right side
    461,413.80x = 196,107,832,348.38
  5. Step 5: Solve for x
    x = 196,107,832,348.38/461,413.80
  6. Step 6: Final answer
    x = 425,015.10

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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.