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Finding the Fourth Proportional to 468,458.96, 646,476.84 and 261,727.76

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Solution

The fourth proportional to 468,458.96, 646,476.84 and 261,727.76 is: 361,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,458.96 : 646,476.84 = 261,727.76 : x
  2. Step 2: Convert to fraction form
    468,458.96/646,476.84 = 261,727.76/x
  3. Step 3: Cross multiply
    468,458.96x = 646,476.84 × 261,727.76
  4. Step 4: Simplify right side
    468,458.96x = 169,200,935,225.08
  5. Step 5: Solve for x
    x = 169,200,935,225.08/468,458.96
  6. Step 6: Final answer
    x = 361,186.25

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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.