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Finding the Fourth Proportional to 647,319.38, 892,883.84 and 429,523.34

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Solution

The fourth proportional to 647,319.38, 892,883.84 and 429,523.34 is: 592,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,319.38 : 892,883.84 = 429,523.34 : x
  2. Step 2: Convert to fraction form
    647,319.38/892,883.84 = 429,523.34/x
  3. Step 3: Cross multiply
    647,319.38x = 892,883.84 × 429,523.34
  4. Step 4: Simplify right side
    647,319.38x = 383,514,449,188.83
  5. Step 5: Solve for x
    x = 383,514,449,188.83/647,319.38
  6. Step 6: Final answer
    x = 592,465.58

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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.