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Finding the Fourth Proportional to 547,646.70, 821,407.77 and 148,318.59

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Solution

The fourth proportional to 547,646.70, 821,407.77 and 148,318.59 is: 222,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,646.70 : 821,407.77 = 148,318.59 : x
  2. Step 2: Convert to fraction form
    547,646.70/821,407.77 = 148,318.59/x
  3. Step 3: Cross multiply
    547,646.70x = 821,407.77 × 148,318.59
  4. Step 4: Simplify right side
    547,646.70x = 121,830,042,261.44
  5. Step 5: Solve for x
    x = 121,830,042,261.44/547,646.70
  6. Step 6: Final answer
    x = 222,461.02

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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.