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Finding the Fourth Proportional to 358,509, 537,726.24 and 224,993.46

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Solution

The fourth proportional to 358,509, 537,726.24 and 224,993.46 is: 337,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,509 : 537,726.24 = 224,993.46 : x
  2. Step 2: Convert to fraction form
    358,509/537,726.24 = 224,993.46/x
  3. Step 3: Cross multiply
    358,509x = 537,726.24 × 224,993.46
  4. Step 4: Simplify right side
    358,509x = 120,984,887,270.39
  5. Step 5: Solve for x
    x = 120,984,887,270.39/358,509
  6. Step 6: Final answer
    x = 337,466.81

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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.