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Finding the Fourth Proportional to 705,671.64, 973,821.65 and 383,384.38

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Solution

The fourth proportional to 705,671.64, 973,821.65 and 383,384.38 is: 529,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,671.64 : 973,821.65 = 383,384.38 : x
  2. Step 2: Convert to fraction form
    705,671.64/973,821.65 = 383,384.38/x
  3. Step 3: Cross multiply
    705,671.64x = 973,821.65 × 383,384.38
  4. Step 4: Simplify right side
    705,671.64x = 373,348,009,515.83
  5. Step 5: Solve for x
    x = 373,348,009,515.83/705,671.64
  6. Step 6: Final answer
    x = 529,067.61

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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.