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Finding the Fourth Proportional to 358,447.16, 537,672.24 and 145,219.20

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Solution

The fourth proportional to 358,447.16, 537,672.24 and 145,219.20 is: 217,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,447.16 : 537,672.24 = 145,219.20 : x
  2. Step 2: Convert to fraction form
    358,447.16/537,672.24 = 145,219.20/x
  3. Step 3: Cross multiply
    358,447.16x = 537,672.24 × 145,219.20
  4. Step 4: Simplify right side
    358,447.16x = 78,080,332,555.01
  5. Step 5: Solve for x
    x = 78,080,332,555.01/358,447.16
  6. Step 6: Final answer
    x = 217,829.41

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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.