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Finding the Fourth Proportional to 534,456, 737,527.68 and 319,714.74

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Solution

The fourth proportional to 534,456, 737,527.68 and 319,714.74 is: 441,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,456 : 737,527.68 = 319,714.74 : x
  2. Step 2: Convert to fraction form
    534,456/737,527.68 = 319,714.74/x
  3. Step 3: Cross multiply
    534,456x = 737,527.68 × 319,714.74
  4. Step 4: Simplify right side
    534,456x = 235,798,470,454.00
  5. Step 5: Solve for x
    x = 235,798,470,454.00/534,456
  6. Step 6: Final answer
    x = 441,193.42

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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.