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Finding the Fourth Proportional to 476,042.72, 713,565.76 and 160,390.56

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Solution

The fourth proportional to 476,042.72, 713,565.76 and 160,390.56 is: 240,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,042.72 : 713,565.76 = 160,390.56 : x
  2. Step 2: Convert to fraction form
    476,042.72/713,565.76 = 160,390.56/x
  3. Step 3: Cross multiply
    476,042.72x = 713,565.76 × 160,390.56
  4. Step 4: Simplify right side
    476,042.72x = 114,449,211,843.23
  5. Step 5: Solve for x
    x = 114,449,211,843.23/476,042.72
  6. Step 6: Final answer
    x = 240,417.94

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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.