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Finding the Fourth Proportional to 306,117.90, 459,056.70 and 116,477.55

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Solution

The fourth proportional to 306,117.90, 459,056.70 and 116,477.55 is: 174,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,117.90 : 459,056.70 = 116,477.55 : x
  2. Step 2: Convert to fraction form
    306,117.90/459,056.70 = 116,477.55/x
  3. Step 3: Cross multiply
    306,117.90x = 459,056.70 × 116,477.55
  4. Step 4: Simplify right side
    306,117.90x = 53,469,799,727.09
  5. Step 5: Solve for x
    x = 53,469,799,727.09/306,117.90
  6. Step 6: Final answer
    x = 174,670.61

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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.