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Finding the Fourth Proportional to 432,783.42, 597,407.80 and 387,381.30

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Solution

The fourth proportional to 432,783.42, 597,407.80 and 387,381.30 is: 534,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,783.42 : 597,407.80 = 387,381.30 : x
  2. Step 2: Convert to fraction form
    432,783.42/597,407.80 = 387,381.30/x
  3. Step 3: Cross multiply
    432,783.42x = 597,407.80 × 387,381.30
  4. Step 4: Simplify right side
    432,783.42x = 231,424,610,194.14
  5. Step 5: Solve for x
    x = 231,424,610,194.14/432,783.42
  6. Step 6: Final answer
    x = 534,735.39

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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.