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Finding the Fourth Proportional to 705,738, 973,919.70 and 383,448.48

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Solution

The fourth proportional to 705,738, 973,919.70 and 383,448.48 is: 529,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,738 : 973,919.70 = 383,448.48 : x
  2. Step 2: Convert to fraction form
    705,738/973,919.70 = 383,448.48/x
  3. Step 3: Cross multiply
    705,738x = 973,919.70 × 383,448.48
  4. Step 4: Simplify right side
    705,738x = 373,448,028,607.06
  5. Step 5: Solve for x
    x = 373,448,028,607.06/705,738
  6. Step 6: Final answer
    x = 529,159.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.