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Finding the Fourth Proportional to 471,196.18, 701,464.94 and 468,393.68

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Solution

The fourth proportional to 471,196.18, 701,464.94 and 468,393.68 is: 697,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,196.18 : 701,464.94 = 468,393.68 : x
  2. Step 2: Convert to fraction form
    471,196.18/701,464.94 = 468,393.68/x
  3. Step 3: Cross multiply
    471,196.18x = 701,464.94 × 468,393.68
  4. Step 4: Simplify right side
    471,196.18x = 328,561,744,637.58
  5. Step 5: Solve for x
    x = 328,561,744,637.58/471,196.18
  6. Step 6: Final answer
    x = 697,292.89

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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.