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Finding the Fourth Proportional to 471,194.68, 701,462.71 and 468,392.18

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Solution

The fourth proportional to 471,194.68, 701,462.71 and 468,392.18 is: 697,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,194.68 : 701,462.71 = 468,392.18 : x
  2. Step 2: Convert to fraction form
    471,194.68/701,462.71 = 468,392.18/x
  3. Step 3: Cross multiply
    471,194.68x = 701,462.71 × 468,392.18
  4. Step 4: Simplify right side
    471,194.68x = 328,559,645,583.65
  5. Step 5: Solve for x
    x = 328,559,645,583.65/471,194.68
  6. Step 6: Final answer
    x = 697,290.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.