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Finding the Fourth Proportional to 450,802.54, 676,094.14 and 151,205.41

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Solution

The fourth proportional to 450,802.54, 676,094.14 and 151,205.41 is: 226,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,802.54 : 676,094.14 = 151,205.41 : x
  2. Step 2: Convert to fraction form
    450,802.54/676,094.14 = 151,205.41/x
  3. Step 3: Cross multiply
    450,802.54x = 676,094.14 × 151,205.41
  4. Step 4: Simplify right side
    450,802.54x = 102,229,091,637.30
  5. Step 5: Solve for x
    x = 102,229,091,637.30/450,802.54
  6. Step 6: Final answer
    x = 226,771.33

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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.