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Finding the Fourth Proportional to 328,039.04, 452,767.56 and 214,796

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Solution

The fourth proportional to 328,039.04, 452,767.56 and 214,796 is: 296,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,039.04 : 452,767.56 = 214,796 : x
  2. Step 2: Convert to fraction form
    328,039.04/452,767.56 = 214,796/x
  3. Step 3: Cross multiply
    328,039.04x = 452,767.56 × 214,796
  4. Step 4: Simplify right side
    328,039.04x = 97,252,660,817.76
  5. Step 5: Solve for x
    x = 97,252,660,817.76/328,039.04
  6. Step 6: Final answer
    x = 296,466.73

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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.