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Finding the Fourth Proportional to 1,333,671.36, 2,000,714.40 and 447,000

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Solution

The fourth proportional to 1,333,671.36, 2,000,714.40 and 447,000 is: 670,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,671.36 : 2,000,714.40 = 447,000 : x
  2. Step 2: Convert to fraction form
    1,333,671.36/2,000,714.40 = 447,000/x
  3. Step 3: Cross multiply
    1,333,671.36x = 2,000,714.40 × 447,000
  4. Step 4: Simplify right side
    1,333,671.36x = 894,319,336,800
  5. Step 5: Solve for x
    x = 894,319,336,800/1,333,671.36
  6. Step 6: Final answer
    x = 670,569.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.