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Finding the Fourth Proportional to 355,108.10, 532,662.15 and 307,415.30

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Solution

The fourth proportional to 355,108.10, 532,662.15 and 307,415.30 is: 461,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,108.10 : 532,662.15 = 307,415.30 : x
  2. Step 2: Convert to fraction form
    355,108.10/532,662.15 = 307,415.30/x
  3. Step 3: Cross multiply
    355,108.10x = 532,662.15 × 307,415.30
  4. Step 4: Simplify right side
    355,108.10x = 163,748,494,640.90
  5. Step 5: Solve for x
    x = 163,748,494,640.90/355,108.10
  6. Step 6: Final answer
    x = 461,122.95

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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.