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Finding the Fourth Proportional to 670,999.32, 925,500.96 and 412,537.68

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Solution

The fourth proportional to 670,999.32, 925,500.96 and 412,537.68 is: 569,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,999.32 : 925,500.96 = 412,537.68 : x
  2. Step 2: Convert to fraction form
    670,999.32/925,500.96 = 412,537.68/x
  3. Step 3: Cross multiply
    670,999.32x = 925,500.96 × 412,537.68
  4. Step 4: Simplify right side
    670,999.32x = 381,804,018,876.17
  5. Step 5: Solve for x
    x = 381,804,018,876.17/670,999.32
  6. Step 6: Final answer
    x = 569,008.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.