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Finding the Fourth Proportional to 358,048.26, 537,028.62 and 147,658.86

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Solution

The fourth proportional to 358,048.26, 537,028.62 and 147,658.86 is: 221,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,048.26 : 537,028.62 = 147,658.86 : x
  2. Step 2: Convert to fraction form
    358,048.26/537,028.62 = 147,658.86/x
  3. Step 3: Cross multiply
    358,048.26x = 537,028.62 × 147,658.86
  4. Step 4: Simplify right side
    358,048.26x = 79,297,033,816.57
  5. Step 5: Solve for x
    x = 79,297,033,816.57/358,048.26
  6. Step 6: Final answer
    x = 221,470.24

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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.