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Finding the Fourth Proportional to 328,186.58, 493,307.46 and 216,583.97

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Solution

The fourth proportional to 328,186.58, 493,307.46 and 216,583.97 is: 325,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,186.58 : 493,307.46 = 216,583.97 : x
  2. Step 2: Convert to fraction form
    328,186.58/493,307.46 = 216,583.97/x
  3. Step 3: Cross multiply
    328,186.58x = 493,307.46 × 216,583.97
  4. Step 4: Simplify right side
    328,186.58x = 106,842,488,117.42
  5. Step 5: Solve for x
    x = 106,842,488,117.42/328,186.58
  6. Step 6: Final answer
    x = 325,554.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.