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Finding the Fourth Proportional to 296,802.32, 445,255.32 and 130,586

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Solution

The fourth proportional to 296,802.32, 445,255.32 and 130,586 is: 195,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,802.32 : 445,255.32 = 130,586 : x
  2. Step 2: Convert to fraction form
    296,802.32/445,255.32 = 130,586/x
  3. Step 3: Cross multiply
    296,802.32x = 445,255.32 × 130,586
  4. Step 4: Simplify right side
    296,802.32x = 58,144,111,217.52
  5. Step 5: Solve for x
    x = 58,144,111,217.52/296,802.32
  6. Step 6: Final answer
    x = 195,901.81

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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.