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Finding the Fourth Proportional to 416,847.81, 575,448.32 and 279,263.64

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Solution

The fourth proportional to 416,847.81, 575,448.32 and 279,263.64 is: 385,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,847.81 : 575,448.32 = 279,263.64 : x
  2. Step 2: Convert to fraction form
    416,847.81/575,448.32 = 279,263.64/x
  3. Step 3: Cross multiply
    416,847.81x = 575,448.32 × 279,263.64
  4. Step 4: Simplify right side
    416,847.81x = 160,701,792,475.09
  5. Step 5: Solve for x
    x = 160,701,792,475.09/416,847.81
  6. Step 6: Final answer
    x = 385,516.70

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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.