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Finding the Fourth Proportional to 329,050.74, 493,478.02 and 139,508.06

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Solution

The fourth proportional to 329,050.74, 493,478.02 and 139,508.06 is: 209,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,050.74 : 493,478.02 = 139,508.06 : x
  2. Step 2: Convert to fraction form
    329,050.74/493,478.02 = 139,508.06/x
  3. Step 3: Cross multiply
    329,050.74x = 493,478.02 × 139,508.06
  4. Step 4: Simplify right side
    329,050.74x = 68,844,161,222.84
  5. Step 5: Solve for x
    x = 68,844,161,222.84/329,050.74
  6. Step 6: Final answer
    x = 209,220.50

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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.