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Finding the Fourth Proportional to 513,561.06, 708,735.42 and 284,114.59

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Solution

The fourth proportional to 513,561.06, 708,735.42 and 284,114.59 is: 392,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,561.06 : 708,735.42 = 284,114.59 : x
  2. Step 2: Convert to fraction form
    513,561.06/708,735.42 = 284,114.59/x
  3. Step 3: Cross multiply
    513,561.06x = 708,735.42 × 284,114.59
  4. Step 4: Simplify right side
    513,561.06x = 201,362,071,499.94
  5. Step 5: Solve for x
    x = 201,362,071,499.94/513,561.06
  6. Step 6: Final answer
    x = 392,089.84

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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.