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Finding the Fourth Proportional to 673,782.84, 929,714.40 and 387,247.60

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Solution

The fourth proportional to 673,782.84, 929,714.40 and 387,247.60 is: 534,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,782.84 : 929,714.40 = 387,247.60 : x
  2. Step 2: Convert to fraction form
    673,782.84/929,714.40 = 387,247.60/x
  3. Step 3: Cross multiply
    673,782.84x = 929,714.40 × 387,247.60
  4. Step 4: Simplify right side
    673,782.84x = 360,029,670,085.44
  5. Step 5: Solve for x
    x = 360,029,670,085.44/673,782.84
  6. Step 6: Final answer
    x = 534,340.81

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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.