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Finding the Fourth Proportional to 459,847.19, 689,762.82 and 206,948.72

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Solution

The fourth proportional to 459,847.19, 689,762.82 and 206,948.72 is: 310,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,847.19 : 689,762.82 = 206,948.72 : x
  2. Step 2: Convert to fraction form
    459,847.19/689,762.82 = 206,948.72/x
  3. Step 3: Cross multiply
    459,847.19x = 689,762.82 × 206,948.72
  4. Step 4: Simplify right side
    459,847.19x = 142,745,532,702.59
  5. Step 5: Solve for x
    x = 142,745,532,702.59/459,847.19
  6. Step 6: Final answer
    x = 310,419.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.