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Finding the Fourth Proportional to 450,803.54, 676,095.64 and 151,206.41

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Solution

The fourth proportional to 450,803.54, 676,095.64 and 151,206.41 is: 226,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,803.54 : 676,095.64 = 151,206.41 : x
  2. Step 2: Convert to fraction form
    450,803.54/676,095.64 = 151,206.41/x
  3. Step 3: Cross multiply
    450,803.54x = 676,095.64 × 151,206.41
  4. Step 4: Simplify right side
    450,803.54x = 102,229,994,541.05
  5. Step 5: Solve for x
    x = 102,229,994,541.05/450,803.54
  6. Step 6: Final answer
    x = 226,772.83

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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.