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Finding the Fourth Proportional to 307,904.12, 461,497.62 and 130,352.12

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Solution

The fourth proportional to 307,904.12, 461,497.62 and 130,352.12 is: 195,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,904.12 : 461,497.62 = 130,352.12 : x
  2. Step 2: Convert to fraction form
    307,904.12/461,497.62 = 130,352.12/x
  3. Step 3: Cross multiply
    307,904.12x = 461,497.62 × 130,352.12
  4. Step 4: Simplify right side
    307,904.12x = 60,157,193,141.95
  5. Step 5: Solve for x
    x = 60,157,193,141.95/307,904.12
  6. Step 6: Final answer
    x = 195,376.38

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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.