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Finding the Fourth Proportional to 328,094.52, 491,030.54 and 201,814.70

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Solution

The fourth proportional to 328,094.52, 491,030.54 and 201,814.70 is: 302,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,094.52 : 491,030.54 = 201,814.70 : x
  2. Step 2: Convert to fraction form
    328,094.52/491,030.54 = 201,814.70/x
  3. Step 3: Cross multiply
    328,094.52x = 491,030.54 × 201,814.70
  4. Step 4: Simplify right side
    328,094.52x = 99,097,181,120.94
  5. Step 5: Solve for x
    x = 99,097,181,120.94/328,094.52
  6. Step 6: Final answer
    x = 302,038.51

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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.