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Finding the Fourth Proportional to 432,717.84, 597,149.82 and 260,735.40

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Solution

The fourth proportional to 432,717.84, 597,149.82 and 260,735.40 is: 359,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,717.84 : 597,149.82 = 260,735.40 : x
  2. Step 2: Convert to fraction form
    432,717.84/597,149.82 = 260,735.40/x
  3. Step 3: Cross multiply
    432,717.84x = 597,149.82 × 260,735.40
  4. Step 4: Simplify right side
    432,717.84x = 155,698,097,177.63
  5. Step 5: Solve for x
    x = 155,698,097,177.63/432,717.84
  6. Step 6: Final answer
    x = 359,814.37

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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.