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Finding the Fourth Proportional to 426,735.32, 639,962.27 and 142,347.50

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Solution

The fourth proportional to 426,735.32, 639,962.27 and 142,347.50 is: 213,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,735.32 : 639,962.27 = 142,347.50 : x
  2. Step 2: Convert to fraction form
    426,735.32/639,962.27 = 142,347.50/x
  3. Step 3: Cross multiply
    426,735.32x = 639,962.27 × 142,347.50
  4. Step 4: Simplify right side
    426,735.32x = 91,097,029,228.83
  5. Step 5: Solve for x
    x = 91,097,029,228.83/426,735.32
  6. Step 6: Final answer
    x = 213,474.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.