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Finding the Fourth Proportional to 468,019.65, 701,393.43 and 197,923.32

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Solution

The fourth proportional to 468,019.65, 701,393.43 and 197,923.32 is: 296,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,019.65 : 701,393.43 = 197,923.32 : x
  2. Step 2: Convert to fraction form
    468,019.65/701,393.43 = 197,923.32/x
  3. Step 3: Cross multiply
    468,019.65x = 701,393.43 × 197,923.32
  4. Step 4: Simplify right side
    468,019.65x = 138,822,116,291.79
  5. Step 5: Solve for x
    x = 138,822,116,291.79/468,019.65
  6. Step 6: Final answer
    x = 296,616.00

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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.