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Finding the Fourth Proportional to 274,717.35, 412,009.59 and 75,038.76

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Solution

The fourth proportional to 274,717.35, 412,009.59 and 75,038.76 is: 112,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,717.35 : 412,009.59 = 75,038.76 : x
  2. Step 2: Convert to fraction form
    274,717.35/412,009.59 = 75,038.76/x
  3. Step 3: Cross multiply
    274,717.35x = 412,009.59 × 75,038.76
  4. Step 4: Simplify right side
    274,717.35x = 30,916,688,741.71
  5. Step 5: Solve for x
    x = 30,916,688,741.71/274,717.35
  6. Step 6: Final answer
    x = 112,539.99

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Why These Related Problems?

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