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Finding the Fourth Proportional to 314,313.96, 433,947.06 and 216,364.44

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Solution

The fourth proportional to 314,313.96, 433,947.06 and 216,364.44 is: 298,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,313.96 : 433,947.06 = 216,364.44 : x
  2. Step 2: Convert to fraction form
    314,313.96/433,947.06 = 216,364.44/x
  3. Step 3: Cross multiply
    314,313.96x = 433,947.06 × 216,364.44
  4. Step 4: Simplify right side
    314,313.96x = 93,890,712,626.55
  5. Step 5: Solve for x
    x = 93,890,712,626.55/314,313.96
  6. Step 6: Final answer
    x = 298,716.33

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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.