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Finding the Fourth Proportional to 456,494.32, 684,903.60 and 203,751.76

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Solution

The fourth proportional to 456,494.32, 684,903.60 and 203,751.76 is: 305,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,494.32 : 684,903.60 = 203,751.76 : x
  2. Step 2: Convert to fraction form
    456,494.32/684,903.60 = 203,751.76/x
  3. Step 3: Cross multiply
    456,494.32x = 684,903.60 × 203,751.76
  4. Step 4: Simplify right side
    456,494.32x = 139,550,313,930.34
  5. Step 5: Solve for x
    x = 139,550,313,930.34/456,494.32
  6. Step 6: Final answer
    x = 305,700.00

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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.