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Finding the Fourth Proportional to 492,074.84, 679,113.44 and 301,214.36

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Solution

The fourth proportional to 492,074.84, 679,113.44 and 301,214.36 is: 415,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,074.84 : 679,113.44 = 301,214.36 : x
  2. Step 2: Convert to fraction form
    492,074.84/679,113.44 = 301,214.36/x
  3. Step 3: Cross multiply
    492,074.84x = 679,113.44 × 301,214.36
  4. Step 4: Simplify right side
    492,074.84x = 204,558,720,197.00
  5. Step 5: Solve for x
    x = 204,558,720,197.00/492,074.84
  6. Step 6: Final answer
    x = 415,706.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.