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Finding the Fourth Proportional to 369,905.72, 510,415.16 and 224,635.95

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Solution

The fourth proportional to 369,905.72, 510,415.16 and 224,635.95 is: 309,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,905.72 : 510,415.16 = 224,635.95 : x
  2. Step 2: Convert to fraction form
    369,905.72/510,415.16 = 224,635.95/x
  3. Step 3: Cross multiply
    369,905.72x = 510,415.16 × 224,635.95
  4. Step 4: Simplify right side
    369,905.72x = 114,657,593,237.82
  5. Step 5: Solve for x
    x = 114,657,593,237.82/369,905.72
  6. Step 6: Final answer
    x = 309,964.37

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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.