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Finding the Fourth Proportional to 345,625.50, 476,963.19 and 186,649.50

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Solution

The fourth proportional to 345,625.50, 476,963.19 and 186,649.50 is: 257,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,625.50 : 476,963.19 = 186,649.50 : x
  2. Step 2: Convert to fraction form
    345,625.50/476,963.19 = 186,649.50/x
  3. Step 3: Cross multiply
    345,625.50x = 476,963.19 × 186,649.50
  4. Step 4: Simplify right side
    345,625.50x = 89,024,940,931.91
  5. Step 5: Solve for x
    x = 89,024,940,931.91/345,625.50
  6. Step 6: Final answer
    x = 257,576.31

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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.