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Finding the Fourth Proportional to 405,970.97, 560,177.53 and 233,855.32

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Solution

The fourth proportional to 405,970.97, 560,177.53 and 233,855.32 is: 322,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,970.97 : 560,177.53 = 233,855.32 : x
  2. Step 2: Convert to fraction form
    405,970.97/560,177.53 = 233,855.32/x
  3. Step 3: Cross multiply
    405,970.97x = 560,177.53 × 233,855.32
  4. Step 4: Simplify right side
    405,970.97x = 131,000,496,265.76
  5. Step 5: Solve for x
    x = 131,000,496,265.76/405,970.97
  6. Step 6: Final answer
    x = 322,684.39

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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.