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Finding the Fourth Proportional to 469,106.32, 703,653.76 and 114,120.69

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Solution

The fourth proportional to 469,106.32, 703,653.76 and 114,120.69 is: 171,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,106.32 : 703,653.76 = 114,120.69 : x
  2. Step 2: Convert to fraction form
    469,106.32/703,653.76 = 114,120.69/x
  3. Step 3: Cross multiply
    469,106.32x = 703,653.76 × 114,120.69
  4. Step 4: Simplify right side
    469,106.32x = 80,301,452,612.29
  5. Step 5: Solve for x
    x = 80,301,452,612.29/469,106.32
  6. Step 6: Final answer
    x = 171,179.64

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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.