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Finding the Fourth Proportional to 329,390.96, 454,384.16 and 200,368.88

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Solution

The fourth proportional to 329,390.96, 454,384.16 and 200,368.88 is: 276,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,390.96 : 454,384.16 = 200,368.88 : x
  2. Step 2: Convert to fraction form
    329,390.96/454,384.16 = 200,368.88/x
  3. Step 3: Cross multiply
    329,390.96x = 454,384.16 × 200,368.88
  4. Step 4: Simplify right side
    329,390.96x = 91,044,445,228.94
  5. Step 5: Solve for x
    x = 91,044,445,228.94/329,390.96
  6. Step 6: Final answer
    x = 276,402.38

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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.