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Finding the Fourth Proportional to 314,864.88, 472,017.68 and 122,694.81

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Solution

The fourth proportional to 314,864.88, 472,017.68 and 122,694.81 is: 183,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,864.88 : 472,017.68 = 122,694.81 : x
  2. Step 2: Convert to fraction form
    314,864.88/472,017.68 = 122,694.81/x
  3. Step 3: Cross multiply
    314,864.88x = 472,017.68 × 122,694.81
  4. Step 4: Simplify right side
    314,864.88x = 57,914,118,950.77
  5. Step 5: Solve for x
    x = 57,914,118,950.77/314,864.88
  6. Step 6: Final answer
    x = 183,933.25

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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.