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Finding the Fourth Proportional to 306,301.22, 459,500.88 and 106,678.34

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Solution

The fourth proportional to 306,301.22, 459,500.88 and 106,678.34 is: 160,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,301.22 : 459,500.88 = 106,678.34 : x
  2. Step 2: Convert to fraction form
    306,301.22/459,500.88 = 106,678.34/x
  3. Step 3: Cross multiply
    306,301.22x = 459,500.88 × 106,678.34
  4. Step 4: Simplify right side
    306,301.22x = 49,018,791,106.94
  5. Step 5: Solve for x
    x = 49,018,791,106.94/306,301.22
  6. Step 6: Final answer
    x = 160,034.59

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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.