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Finding the Fourth Proportional to 498,768.07, 748,257.23 and 161,782.50

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Solution

The fourth proportional to 498,768.07, 748,257.23 and 161,782.50 is: 242,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,768.07 : 748,257.23 = 161,782.50 : x
  2. Step 2: Convert to fraction form
    498,768.07/748,257.23 = 161,782.50/x
  3. Step 3: Cross multiply
    498,768.07x = 748,257.23 × 161,782.50
  4. Step 4: Simplify right side
    498,768.07x = 121,054,925,312.48
  5. Step 5: Solve for x
    x = 121,054,925,312.48/498,768.07
  6. Step 6: Final answer
    x = 242,707.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.