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Finding the Fourth Proportional to 369,617.75, 510,077.30 and 214,605.38

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Solution

The fourth proportional to 369,617.75, 510,077.30 and 214,605.38 is: 296,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,617.75 : 510,077.30 = 214,605.38 : x
  2. Step 2: Convert to fraction form
    369,617.75/510,077.30 = 214,605.38/x
  3. Step 3: Cross multiply
    369,617.75x = 510,077.30 × 214,605.38
  4. Step 4: Simplify right side
    369,617.75x = 109,465,329,172.46
  5. Step 5: Solve for x
    x = 109,465,329,172.46/369,617.75
  6. Step 6: Final answer
    x = 296,158.21

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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.