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Finding the Fourth Proportional to 432,778.14, 597,222.81 and 241,792.96

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Solution

The fourth proportional to 432,778.14, 597,222.81 and 241,792.96 is: 333,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,778.14 : 597,222.81 = 241,792.96 : x
  2. Step 2: Convert to fraction form
    432,778.14/597,222.81 = 241,792.96/x
  3. Step 3: Cross multiply
    432,778.14x = 597,222.81 × 241,792.96
  4. Step 4: Simplify right side
    432,778.14x = 144,404,271,009.42
  5. Step 5: Solve for x
    x = 144,404,271,009.42/432,778.14
  6. Step 6: Final answer
    x = 333,668.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.