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Finding the Fourth Proportional to 294,002.60, 440,420.70 and 175,321.40

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Solution

The fourth proportional to 294,002.60, 440,420.70 and 175,321.40 is: 262,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,002.60 : 440,420.70 = 175,321.40 : x
  2. Step 2: Convert to fraction form
    294,002.60/440,420.70 = 175,321.40/x
  3. Step 3: Cross multiply
    294,002.60x = 440,420.70 × 175,321.40
  4. Step 4: Simplify right side
    294,002.60x = 77,215,173,712.98
  5. Step 5: Solve for x
    x = 77,215,173,712.98/294,002.60
  6. Step 6: Final answer
    x = 262,634.32

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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.