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Finding the Fourth Proportional to 432,421.90, 648,415.10 and 144,131.44

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Solution

The fourth proportional to 432,421.90, 648,415.10 and 144,131.44 is: 216,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,421.90 : 648,415.10 = 144,131.44 : x
  2. Step 2: Convert to fraction form
    432,421.90/648,415.10 = 144,131.44/x
  3. Step 3: Cross multiply
    432,421.90x = 648,415.10 × 144,131.44
  4. Step 4: Simplify right side
    432,421.90x = 93,457,002,080.74
  5. Step 5: Solve for x
    x = 93,457,002,080.74/432,421.90
  6. Step 6: Final answer
    x = 216,124.58

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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.