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Finding the Fourth Proportional to 369,618.75, 510,078.68 and 214,606.38

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Solution

The fourth proportional to 369,618.75, 510,078.68 and 214,606.38 is: 296,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,618.75 : 510,078.68 = 214,606.38 : x
  2. Step 2: Convert to fraction form
    369,618.75/510,078.68 = 214,606.38/x
  3. Step 3: Cross multiply
    369,618.75x = 510,078.68 × 214,606.38
  4. Step 4: Simplify right side
    369,618.75x = 109,466,139,029.98
  5. Step 5: Solve for x
    x = 109,466,139,029.98/369,618.75
  6. Step 6: Final answer
    x = 296,159.59

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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.