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Finding the Fourth Proportional to 468,022.65, 701,397.93 and 197,926.32

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Solution

The fourth proportional to 468,022.65, 701,397.93 and 197,926.32 is: 296,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,022.65 : 701,397.93 = 197,926.32 : x
  2. Step 2: Convert to fraction form
    468,022.65/701,397.93 = 197,926.32/x
  3. Step 3: Cross multiply
    468,022.65x = 701,397.93 × 197,926.32
  4. Step 4: Simplify right side
    468,022.65x = 138,825,111,140.52
  5. Step 5: Solve for x
    x = 138,825,111,140.52/468,022.65
  6. Step 6: Final answer
    x = 296,620.50

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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.