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Finding the Fourth Proportional to 472,622.88, 651,994.46 and 319,714.60

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Solution

The fourth proportional to 472,622.88, 651,994.46 and 319,714.60 is: 441,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,622.88 : 651,994.46 = 319,714.60 : x
  2. Step 2: Convert to fraction form
    472,622.88/651,994.46 = 319,714.60/x
  3. Step 3: Cross multiply
    472,622.88x = 651,994.46 × 319,714.60
  4. Step 4: Simplify right side
    472,622.88x = 208,452,147,981.12
  5. Step 5: Solve for x
    x = 208,452,147,981.12/472,622.88
  6. Step 6: Final answer
    x = 441,053.87

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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.