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Finding the Fourth Proportional to 476,386.92, 714,536.10 and 160,846.56

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Solution

The fourth proportional to 476,386.92, 714,536.10 and 160,846.56 is: 241,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,386.92 : 714,536.10 = 160,846.56 : x
  2. Step 2: Convert to fraction form
    476,386.92/714,536.10 = 160,846.56/x
  3. Step 3: Cross multiply
    476,386.92x = 714,536.10 × 160,846.56
  4. Step 4: Simplify right side
    476,386.92x = 114,930,673,680.82
  5. Step 5: Solve for x
    x = 114,930,673,680.82/476,386.92
  6. Step 6: Final answer
    x = 241,254.89

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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.