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Finding the Fourth Proportional to 412,977.30, 569,305.44 and 291,904.98

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Solution

The fourth proportional to 412,977.30, 569,305.44 and 291,904.98 is: 402,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,977.30 : 569,305.44 = 291,904.98 : x
  2. Step 2: Convert to fraction form
    412,977.30/569,305.44 = 291,904.98/x
  3. Step 3: Cross multiply
    412,977.30x = 569,305.44 × 291,904.98
  4. Step 4: Simplify right side
    412,977.30x = 166,183,093,077.09
  5. Step 5: Solve for x
    x = 166,183,093,077.09/412,977.30
  6. Step 6: Final answer
    x = 402,402.49

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