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Finding the Fourth Proportional to 468,378.12, 646,462.98 and 296,186.16

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Solution

The fourth proportional to 468,378.12, 646,462.98 and 296,186.16 is: 408,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,378.12 : 646,462.98 = 296,186.16 : x
  2. Step 2: Convert to fraction form
    468,378.12/646,462.98 = 296,186.16/x
  3. Step 3: Cross multiply
    468,378.12x = 646,462.98 × 296,186.16
  4. Step 4: Simplify right side
    468,378.12x = 191,473,387,628.36
  5. Step 5: Solve for x
    x = 191,473,387,628.36/468,378.12
  6. Step 6: Final answer
    x = 408,800.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.