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Finding the Fourth Proportional to 510,478.39, 704,652.38 and 383,520.61

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Solution

The fourth proportional to 510,478.39, 704,652.38 and 383,520.61 is: 529,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,478.39 : 704,652.38 = 383,520.61 : x
  2. Step 2: Convert to fraction form
    510,478.39/704,652.38 = 383,520.61/x
  3. Step 3: Cross multiply
    510,478.39x = 704,652.38 × 383,520.61
  4. Step 4: Simplify right side
    510,478.39x = 270,248,710,615.55
  5. Step 5: Solve for x
    x = 270,248,710,615.55/510,478.39
  6. Step 6: Final answer
    x = 529,402.84

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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.