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Finding the Fourth Proportional to 459,576.32, 689,485.98 and 210,200

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Solution

The fourth proportional to 459,576.32, 689,485.98 and 210,200 is: 315,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,576.32 : 689,485.98 = 210,200 : x
  2. Step 2: Convert to fraction form
    459,576.32/689,485.98 = 210,200/x
  3. Step 3: Cross multiply
    459,576.32x = 689,485.98 × 210,200
  4. Step 4: Simplify right side
    459,576.32x = 144,929,952,996
  5. Step 5: Solve for x
    x = 144,929,952,996/459,576.32
  6. Step 6: Final answer
    x = 315,355.57

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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.