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Finding the Fourth Proportional to 224,774.70, 309,557.61 and 219,875.82

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Solution

The fourth proportional to 224,774.70, 309,557.61 and 219,875.82 is: 302,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,774.70 : 309,557.61 = 219,875.82 : x
  2. Step 2: Convert to fraction form
    224,774.70/309,557.61 = 219,875.82/x
  3. Step 3: Cross multiply
    224,774.70x = 309,557.61 × 219,875.82
  4. Step 4: Simplify right side
    224,774.70x = 68,064,233,335.99
  5. Step 5: Solve for x
    x = 68,064,233,335.99/224,774.70
  6. Step 6: Final answer
    x = 302,810.92

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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.