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Finding the Fourth Proportional to 358,791.88, 537,145.24 and 208,574.16

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Solution

The fourth proportional to 358,791.88, 537,145.24 and 208,574.16 is: 312,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,791.88 : 537,145.24 = 208,574.16 : x
  2. Step 2: Convert to fraction form
    358,791.88/537,145.24 = 208,574.16/x
  3. Step 3: Cross multiply
    358,791.88x = 537,145.24 × 208,574.16
  4. Step 4: Simplify right side
    358,791.88x = 112,034,617,231.00
  5. Step 5: Solve for x
    x = 112,034,617,231.00/358,791.88
  6. Step 6: Final answer
    x = 312,255.16

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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.