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Finding the Fourth Proportional to 349,894.63, 524,838.48 and 160,301.21

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Solution

The fourth proportional to 349,894.63, 524,838.48 and 160,301.21 is: 240,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,894.63 : 524,838.48 = 160,301.21 : x
  2. Step 2: Convert to fraction form
    349,894.63/524,838.48 = 160,301.21/x
  3. Step 3: Cross multiply
    349,894.63x = 524,838.48 × 160,301.21
  4. Step 4: Simplify right side
    349,894.63x = 84,132,241,146.73
  5. Step 5: Solve for x
    x = 84,132,241,146.73/349,894.63
  6. Step 6: Final answer
    x = 240,450.22

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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.