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Finding the Fourth Proportional to 328,192.67, 452,990.16 and 213,756.48

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Solution

The fourth proportional to 328,192.67, 452,990.16 and 213,756.48 is: 295,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,192.67 : 452,990.16 = 213,756.48 : x
  2. Step 2: Convert to fraction form
    328,192.67/452,990.16 = 213,756.48/x
  3. Step 3: Cross multiply
    328,192.67x = 452,990.16 × 213,756.48
  4. Step 4: Simplify right side
    328,192.67x = 96,829,581,007.45
  5. Step 5: Solve for x
    x = 96,829,581,007.45/328,192.67
  6. Step 6: Final answer
    x = 295,038.83

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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.