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Finding the Fourth Proportional to 209,314.40, 313,971.60 and 190,943.60

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Solution

The fourth proportional to 209,314.40, 313,971.60 and 190,943.60 is: 286,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.40 : 313,971.60 = 190,943.60 : x
  2. Step 2: Convert to fraction form
    209,314.40/313,971.60 = 190,943.60/x
  3. Step 3: Cross multiply
    209,314.40x = 313,971.60 × 190,943.60
  4. Step 4: Simplify right side
    209,314.40x = 59,950,867,601.76
  5. Step 5: Solve for x
    x = 59,950,867,601.76/209,314.40
  6. Step 6: Final answer
    x = 286,415.40

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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.