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Finding the Fourth Proportional to 683,219.25, 942,842.63 and 381,413.25

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Solution

The fourth proportional to 683,219.25, 942,842.63 and 381,413.25 is: 526,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,219.25 : 942,842.63 = 381,413.25 : x
  2. Step 2: Convert to fraction form
    683,219.25/942,842.63 = 381,413.25/x
  3. Step 3: Cross multiply
    683,219.25x = 942,842.63 × 381,413.25
  4. Step 4: Simplify right side
    683,219.25x = 359,612,672,700.38
  5. Step 5: Solve for x
    x = 359,612,672,700.38/683,219.25
  6. Step 6: Final answer
    x = 526,350.32

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Double scale
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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.