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Finding the Fourth Proportional to 309,263.24, 464,041.20 and 169,017.68

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Solution

The fourth proportional to 309,263.24, 464,041.20 and 169,017.68 is: 253,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,263.24 : 464,041.20 = 169,017.68 : x
  2. Step 2: Convert to fraction form
    309,263.24/464,041.20 = 169,017.68/x
  3. Step 3: Cross multiply
    309,263.24x = 464,041.20 × 169,017.68
  4. Step 4: Simplify right side
    309,263.24x = 78,431,167,048.42
  5. Step 5: Solve for x
    x = 78,431,167,048.42/309,263.24
  6. Step 6: Final answer
    x = 253,606.50

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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.