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Finding the Fourth Proportional to 412,349.20, 569,316 and 316,684.96

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Solution

The fourth proportional to 412,349.20, 569,316 and 316,684.96 is: 437,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,349.20 : 569,316 = 316,684.96 : x
  2. Step 2: Convert to fraction form
    412,349.20/569,316 = 316,684.96/x
  3. Step 3: Cross multiply
    412,349.20x = 569,316 × 316,684.96
  4. Step 4: Simplify right side
    412,349.20x = 180,293,814,687.36
  5. Step 5: Solve for x
    x = 180,293,814,687.36/412,349.20
  6. Step 6: Final answer
    x = 437,235.76

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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.