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Finding the Fourth Proportional to 382,709.42, 577,658.77 and 382,709.42

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Solution

The fourth proportional to 382,709.42, 577,658.77 and 382,709.42 is: 577,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,709.42 : 577,658.77 = 382,709.42 : x
  2. Step 2: Convert to fraction form
    382,709.42/577,658.77 = 382,709.42/x
  3. Step 3: Cross multiply
    382,709.42x = 577,658.77 × 382,709.42
  4. Step 4: Simplify right side
    382,709.42x = 221,075,450,911.07
  5. Step 5: Solve for x
    x = 221,075,450,911.07/382,709.42
  6. Step 6: Final answer
    x = 577,658.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.