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Finding the Fourth Proportional to 306,328.64, 459,555.24 and 106,664.60

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Solution

The fourth proportional to 306,328.64, 459,555.24 and 106,664.60 is: 160,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,328.64 : 459,555.24 = 106,664.60 : x
  2. Step 2: Convert to fraction form
    306,328.64/459,555.24 = 106,664.60/x
  3. Step 3: Cross multiply
    306,328.64x = 459,555.24 × 106,664.60
  4. Step 4: Simplify right side
    306,328.64x = 49,018,275,852.50
  5. Step 5: Solve for x
    x = 49,018,275,852.50/306,328.64
  6. Step 6: Final answer
    x = 160,018.59

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Why These Related Problems?

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