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Finding the Fourth Proportional to 412,893.98, 619,398.72 and 128,605.17

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Solution

The fourth proportional to 412,893.98, 619,398.72 and 128,605.17 is: 192,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,893.98 : 619,398.72 = 128,605.17 : x
  2. Step 2: Convert to fraction form
    412,893.98/619,398.72 = 128,605.17/x
  3. Step 3: Cross multiply
    412,893.98x = 619,398.72 × 128,605.17
  4. Step 4: Simplify right side
    412,893.98x = 79,657,876,883.71
  5. Step 5: Solve for x
    x = 79,657,876,883.71/412,893.98
  6. Step 6: Final answer
    x = 192,925.74

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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.