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Finding the Fourth Proportional to 314,349.84, 471,352.44 and 124,618

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Solution

The fourth proportional to 314,349.84, 471,352.44 and 124,618 is: 186,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,349.84 : 471,352.44 = 124,618 : x
  2. Step 2: Convert to fraction form
    314,349.84/471,352.44 = 124,618/x
  3. Step 3: Cross multiply
    314,349.84x = 471,352.44 × 124,618
  4. Step 4: Simplify right side
    314,349.84x = 58,738,998,367.92
  5. Step 5: Solve for x
    x = 58,738,998,367.92/314,349.84
  6. Step 6: Final answer
    x = 186,858.69

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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.