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Finding the Fourth Proportional to 306,502.64, 459,790.86 and 101,344.26

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Solution

The fourth proportional to 306,502.64, 459,790.86 and 101,344.26 is: 152,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502.64 : 459,790.86 = 101,344.26 : x
  2. Step 2: Convert to fraction form
    306,502.64/459,790.86 = 101,344.26/x
  3. Step 3: Cross multiply
    306,502.64x = 459,790.86 × 101,344.26
  4. Step 4: Simplify right side
    306,502.64x = 46,597,166,565.72
  5. Step 5: Solve for x
    x = 46,597,166,565.72/306,502.64
  6. Step 6: Final answer
    x = 152,028.60

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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.