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Finding the Fourth Proportional to 705,174.96, 973,135.44 and 382,878.72

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Solution

The fourth proportional to 705,174.96, 973,135.44 and 382,878.72 is: 528,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,174.96 : 973,135.44 = 382,878.72 : x
  2. Step 2: Convert to fraction form
    705,174.96/973,135.44 = 382,878.72/x
  3. Step 3: Cross multiply
    705,174.96x = 973,135.44 × 382,878.72
  4. Step 4: Simplify right side
    705,174.96x = 372,592,851,653.84
  5. Step 5: Solve for x
    x = 372,592,851,653.84/705,174.96
  6. Step 6: Final answer
    x = 528,369.37

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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.