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Finding the Fourth Proportional to 456,095.60, 684,532.20 and 203,764.40

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Solution

The fourth proportional to 456,095.60, 684,532.20 and 203,764.40 is: 305,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,095.60 : 684,532.20 = 203,764.40 : x
  2. Step 2: Convert to fraction form
    456,095.60/684,532.20 = 203,764.40/x
  3. Step 3: Cross multiply
    456,095.60x = 684,532.20 × 203,764.40
  4. Step 4: Simplify right side
    456,095.60x = 139,483,293,013.68
  5. Step 5: Solve for x
    x = 139,483,293,013.68/456,095.60
  6. Step 6: Final answer
    x = 305,820.30

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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.