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Finding the Fourth Proportional to 309,393.92, 464,091.29 and 84,756.35

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Solution

The fourth proportional to 309,393.92, 464,091.29 and 84,756.35 is: 127,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,393.92 : 464,091.29 = 84,756.35 : x
  2. Step 2: Convert to fraction form
    309,393.92/464,091.29 = 84,756.35/x
  3. Step 3: Cross multiply
    309,393.92x = 464,091.29 × 84,756.35
  4. Step 4: Simplify right side
    309,393.92x = 39,334,683,807.19
  5. Step 5: Solve for x
    x = 39,334,683,807.19/309,393.92
  6. Step 6: Final answer
    x = 127,134.64

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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.