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Finding the Fourth Proportional to 705,165.67, 973,148.33 and 382,895.42

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Solution

The fourth proportional to 705,165.67, 973,148.33 and 382,895.42 is: 528,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,165.67 : 973,148.33 = 382,895.42 : x
  2. Step 2: Convert to fraction form
    705,165.67/973,148.33 = 382,895.42/x
  3. Step 3: Cross multiply
    705,165.67x = 973,148.33 × 382,895.42
  4. Step 4: Simplify right side
    705,165.67x = 372,614,036,623.17
  5. Step 5: Solve for x
    x = 372,614,036,623.17/705,165.67
  6. Step 6: Final answer
    x = 528,406.38

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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.