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Finding the Fourth Proportional to 476,844, 658,021.20 and 285,820.32

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Solution

The fourth proportional to 476,844, 658,021.20 and 285,820.32 is: 394,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,844 : 658,021.20 = 285,820.32 : x
  2. Step 2: Convert to fraction form
    476,844/658,021.20 = 285,820.32/x
  3. Step 3: Cross multiply
    476,844x = 658,021.20 × 285,820.32
  4. Step 4: Simplify right side
    476,844x = 188,075,829,950.78
  5. Step 5: Solve for x
    x = 188,075,829,950.78/476,844
  6. Step 6: Final answer
    x = 394,417.94

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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.