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Finding the Fourth Proportional to 463,812, 695,708.08 and 126,852.64

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Solution

The fourth proportional to 463,812, 695,708.08 and 126,852.64 is: 190,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,812 : 695,708.08 = 126,852.64 : x
  2. Step 2: Convert to fraction form
    463,812/695,708.08 = 126,852.64/x
  3. Step 3: Cross multiply
    463,812x = 695,708.08 × 126,852.64
  4. Step 4: Simplify right side
    463,812x = 88,252,406,617.33
  5. Step 5: Solve for x
    x = 88,252,406,617.33/463,812
  6. Step 6: Final answer
    x = 190,276.25

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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.