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Finding the Fourth Proportional to 293,697, 440,544.06 and 83,335.32

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Solution

The fourth proportional to 293,697, 440,544.06 and 83,335.32 is: 125,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,697 : 440,544.06 = 83,335.32 : x
  2. Step 2: Convert to fraction form
    293,697/440,544.06 = 83,335.32/x
  3. Step 3: Cross multiply
    293,697x = 440,544.06 × 83,335.32
  4. Step 4: Simplify right side
    293,697x = 36,712,880,214.20
  5. Step 5: Solve for x
    x = 36,712,880,214.20/293,697
  6. Step 6: Final answer
    x = 125,002.57

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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.