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Finding the Fourth Proportional to 416,361.92, 574,856.94 and 280,597.76

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Solution

The fourth proportional to 416,361.92, 574,856.94 and 280,597.76 is: 387,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,361.92 : 574,856.94 = 280,597.76 : x
  2. Step 2: Convert to fraction form
    416,361.92/574,856.94 = 280,597.76/x
  3. Step 3: Cross multiply
    416,361.92x = 574,856.94 × 280,597.76
  4. Step 4: Simplify right side
    416,361.92x = 161,303,569,684.45
  5. Step 5: Solve for x
    x = 161,303,569,684.45/416,361.92
  6. Step 6: Final answer
    x = 387,411.92

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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.