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Finding the Fourth Proportional to 259,643.32, 358,324.50 and 146,463.64

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Solution

The fourth proportional to 259,643.32, 358,324.50 and 146,463.64 is: 202,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,643.32 : 358,324.50 = 146,463.64 : x
  2. Step 2: Convert to fraction form
    259,643.32/358,324.50 = 146,463.64/x
  3. Step 3: Cross multiply
    259,643.32x = 358,324.50 × 146,463.64
  4. Step 4: Simplify right side
    259,643.32x = 52,481,510,571.18
  5. Step 5: Solve for x
    x = 52,481,510,571.18/259,643.32
  6. Step 6: Final answer
    x = 202,129.25

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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.