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Finding the Fourth Proportional to 314,347.84, 471,349.44 and 124,616

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Solution

The fourth proportional to 314,347.84, 471,349.44 and 124,616 is: 186,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,347.84 : 471,349.44 = 124,616 : x
  2. Step 2: Convert to fraction form
    314,347.84/471,349.44 = 124,616/x
  3. Step 3: Cross multiply
    314,347.84x = 471,349.44 × 124,616
  4. Step 4: Simplify right side
    314,347.84x = 58,737,681,815.04
  5. Step 5: Solve for x
    x = 58,737,681,815.04/314,347.84
  6. Step 6: Final answer
    x = 186,855.69

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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.