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Finding the Fourth Proportional to 466,814.64, 700,170.93 and 151,186.80

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Solution

The fourth proportional to 466,814.64, 700,170.93 and 151,186.80 is: 226,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,814.64 : 700,170.93 = 151,186.80 : x
  2. Step 2: Convert to fraction form
    466,814.64/700,170.93 = 151,186.80/x
  3. Step 3: Cross multiply
    466,814.64x = 700,170.93 × 151,186.80
  4. Step 4: Simplify right side
    466,814.64x = 105,856,602,359.72
  5. Step 5: Solve for x
    x = 105,856,602,359.72/466,814.64
  6. Step 6: Final answer
    x = 226,763.67

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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.