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Finding the Fourth Proportional to 474,805.80, 712,208.70 and 159,186.60

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Solution

The fourth proportional to 474,805.80, 712,208.70 and 159,186.60 is: 238,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,805.80 : 712,208.70 = 159,186.60 : x
  2. Step 2: Convert to fraction form
    474,805.80/712,208.70 = 159,186.60/x
  3. Step 3: Cross multiply
    474,805.80x = 712,208.70 × 159,186.60
  4. Step 4: Simplify right side
    474,805.80x = 113,374,081,443.42
  5. Step 5: Solve for x
    x = 113,374,081,443.42/474,805.80
  6. Step 6: Final answer
    x = 238,779.90

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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.