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Finding the Fourth Proportional to 307,952.60, 461,864.10 and 130,465.40

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Solution

The fourth proportional to 307,952.60, 461,864.10 and 130,465.40 is: 195,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,952.60 : 461,864.10 = 130,465.40 : x
  2. Step 2: Convert to fraction form
    307,952.60/461,864.10 = 130,465.40/x
  3. Step 3: Cross multiply
    307,952.60x = 461,864.10 × 130,465.40
  4. Step 4: Simplify right side
    307,952.60x = 60,257,284,552.14
  5. Step 5: Solve for x
    x = 60,257,284,552.14/307,952.60
  6. Step 6: Final answer
    x = 195,670.65

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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.