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Finding the Fourth Proportional to 512,035.83, 768,070.15 and 175,062.87

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Solution

The fourth proportional to 512,035.83, 768,070.15 and 175,062.87 is: 262,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,035.83 : 768,070.15 = 175,062.87 : x
  2. Step 2: Convert to fraction form
    512,035.83/768,070.15 = 175,062.87/x
  3. Step 3: Cross multiply
    512,035.83x = 768,070.15 × 175,062.87
  4. Step 4: Simplify right side
    512,035.83x = 134,460,564,382.67
  5. Step 5: Solve for x
    x = 134,460,564,382.67/512,035.83
  6. Step 6: Final answer
    x = 262,599.91

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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.