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Finding the Fourth Proportional to 306,505.34, 459,794.90 and 101,346.95

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Solution

The fourth proportional to 306,505.34, 459,794.90 and 101,346.95 is: 152,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,505.34 : 459,794.90 = 101,346.95 : x
  2. Step 2: Convert to fraction form
    306,505.34/459,794.90 = 101,346.95/x
  3. Step 3: Cross multiply
    306,505.34x = 459,794.90 × 101,346.95
  4. Step 4: Simplify right side
    306,505.34x = 46,598,810,740.56
  5. Step 5: Solve for x
    x = 46,598,810,740.56/306,505.34
  6. Step 6: Final answer
    x = 152,032.62

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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.