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Finding the Fourth Proportional to 476,189.13, 714,239.96 and 160,648.77

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Solution

The fourth proportional to 476,189.13, 714,239.96 and 160,648.77 is: 240,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,189.13 : 714,239.96 = 160,648.77 : x
  2. Step 2: Convert to fraction form
    476,189.13/714,239.96 = 160,648.77/x
  3. Step 3: Cross multiply
    476,189.13x = 714,239.96 × 160,648.77
  4. Step 4: Simplify right side
    476,189.13x = 114,741,771,058.85
  5. Step 5: Solve for x
    x = 114,741,771,058.85/476,189.13
  6. Step 6: Final answer
    x = 240,958.40

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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.