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Finding the Fourth Proportional to 499,615.90, 749,522.16 and 144,632.86

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Solution

The fourth proportional to 499,615.90, 749,522.16 and 144,632.86 is: 216,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,615.90 : 749,522.16 = 144,632.86 : x
  2. Step 2: Convert to fraction form
    499,615.90/749,522.16 = 144,632.86/x
  3. Step 3: Cross multiply
    499,615.90x = 749,522.16 × 144,632.86
  4. Step 4: Simplify right side
    499,615.90x = 108,405,533,634.18
  5. Step 5: Solve for x
    x = 108,405,533,634.18/499,615.90
  6. Step 6: Final answer
    x = 216,977.75

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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.