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Finding the Fourth Proportional to 426,596.88, 639,829.56 and 142,292.40

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Solution

The fourth proportional to 426,596.88, 639,829.56 and 142,292.40 is: 213,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,596.88 : 639,829.56 = 142,292.40 : x
  2. Step 2: Convert to fraction form
    426,596.88/639,829.56 = 142,292.40/x
  3. Step 3: Cross multiply
    426,596.88x = 639,829.56 × 142,292.40
  4. Step 4: Simplify right side
    426,596.88x = 91,042,883,683.34
  5. Step 5: Solve for x
    x = 91,042,883,683.34/426,596.88
  6. Step 6: Final answer
    x = 213,416.67

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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.