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Finding the Fourth Proportional to 311,752.64, 467,674.24 and 98,448.32

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Solution

The fourth proportional to 311,752.64, 467,674.24 and 98,448.32 is: 147,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,752.64 : 467,674.24 = 98,448.32 : x
  2. Step 2: Convert to fraction form
    311,752.64/467,674.24 = 98,448.32/x
  3. Step 3: Cross multiply
    311,752.64x = 467,674.24 × 98,448.32
  4. Step 4: Simplify right side
    311,752.64x = 46,041,743,235.28
  5. Step 5: Solve for x
    x = 46,041,743,235.28/311,752.64
  6. Step 6: Final answer
    x = 147,686.78

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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.