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Finding the Fourth Proportional to 421,950.24, 632,857.15 and 155,836.08

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Solution

The fourth proportional to 421,950.24, 632,857.15 and 155,836.08 is: 233,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,950.24 : 632,857.15 = 155,836.08 : x
  2. Step 2: Convert to fraction form
    421,950.24/632,857.15 = 155,836.08/x
  3. Step 3: Cross multiply
    421,950.24x = 632,857.15 × 155,836.08
  4. Step 4: Simplify right side
    421,950.24x = 98,621,979,147.40
  5. Step 5: Solve for x
    x = 98,621,979,147.40/421,950.24
  6. Step 6: Final answer
    x = 233,728.93

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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.