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Finding the Fourth Proportional to 651,699.22, 977,542.76 and 178,383.82

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Solution

The fourth proportional to 651,699.22, 977,542.76 and 178,383.82 is: 267,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,699.22 : 977,542.76 = 178,383.82 : x
  2. Step 2: Convert to fraction form
    651,699.22/977,542.76 = 178,383.82/x
  3. Step 3: Cross multiply
    651,699.22x = 977,542.76 × 178,383.82
  4. Step 4: Simplify right side
    651,699.22x = 174,377,811,742.14
  5. Step 5: Solve for x
    x = 174,377,811,742.14/651,699.22
  6. Step 6: Final answer
    x = 267,574.07

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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.