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Finding the Fourth Proportional to 328,151.94, 492,238.44 and 103,514.46

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Solution

The fourth proportional to 328,151.94, 492,238.44 and 103,514.46 is: 155,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,151.94 : 492,238.44 = 103,514.46 : x
  2. Step 2: Convert to fraction form
    328,151.94/492,238.44 = 103,514.46/x
  3. Step 3: Cross multiply
    328,151.94x = 492,238.44 × 103,514.46
  4. Step 4: Simplify right side
    328,151.94x = 50,953,796,307.84
  5. Step 5: Solve for x
    x = 50,953,796,307.84/328,151.94
  6. Step 6: Final answer
    x = 155,275.01

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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.