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Finding the Fourth Proportional to 431,548.47, 595,792.02 and 383,669.28

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Solution

The fourth proportional to 431,548.47, 595,792.02 and 383,669.28 is: 529,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,548.47 : 595,792.02 = 383,669.28 : x
  2. Step 2: Convert to fraction form
    431,548.47/595,792.02 = 383,669.28/x
  3. Step 3: Cross multiply
    431,548.47x = 595,792.02 × 383,669.28
  4. Step 4: Simplify right side
    431,548.47x = 228,587,095,343.15
  5. Step 5: Solve for x
    x = 228,587,095,343.15/431,548.47
  6. Step 6: Final answer
    x = 529,690.43

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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.