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Finding the Fourth Proportional to 433,484.82, 650,161.62 and 117,966.33

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Solution

The fourth proportional to 433,484.82, 650,161.62 and 117,966.33 is: 176,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,484.82 : 650,161.62 = 117,966.33 : x
  2. Step 2: Convert to fraction form
    433,484.82/650,161.62 = 117,966.33/x
  3. Step 3: Cross multiply
    433,484.82x = 650,161.62 × 117,966.33
  4. Step 4: Simplify right side
    433,484.82x = 76,697,180,218.25
  5. Step 5: Solve for x
    x = 76,697,180,218.25/433,484.82
  6. Step 6: Final answer
    x = 176,931.64

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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.