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Finding the Fourth Proportional to 512,562.90, 767,029.95 and 446,726.10

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Solution

The fourth proportional to 512,562.90, 767,029.95 and 446,726.10 is: 668,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,562.90 : 767,029.95 = 446,726.10 : x
  2. Step 2: Convert to fraction form
    512,562.90/767,029.95 = 446,726.10/x
  3. Step 3: Cross multiply
    512,562.90x = 767,029.95 × 446,726.10
  4. Step 4: Simplify right side
    512,562.90x = 342,652,298,146.70
  5. Step 5: Solve for x
    x = 342,652,298,146.70/512,562.90
  6. Step 6: Final answer
    x = 668,507.80

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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.