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Finding the Fourth Proportional to 669,002.88, 923,656.32 and 414,624

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Solution

The fourth proportional to 669,002.88, 923,656.32 and 414,624 is: 572,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,002.88 : 923,656.32 = 414,624 : x
  2. Step 2: Convert to fraction form
    669,002.88/923,656.32 = 414,624/x
  3. Step 3: Cross multiply
    669,002.88x = 923,656.32 × 414,624
  4. Step 4: Simplify right side
    669,002.88x = 382,970,078,023.68
  5. Step 5: Solve for x
    x = 382,970,078,023.68/669,002.88
  6. Step 6: Final answer
    x = 572,449.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.