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Finding the Fourth Proportional to 463,065.49, 694,722.93 and 238,303.45

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Solution

The fourth proportional to 463,065.49, 694,722.93 and 238,303.45 is: 357,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,065.49 : 694,722.93 = 238,303.45 : x
  2. Step 2: Convert to fraction form
    463,065.49/694,722.93 = 238,303.45/x
  3. Step 3: Cross multiply
    463,065.49x = 694,722.93 × 238,303.45
  4. Step 4: Simplify right side
    463,065.49x = 165,554,870,987.87
  5. Step 5: Solve for x
    x = 165,554,870,987.87/463,065.49
  6. Step 6: Final answer
    x = 357,519.34

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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.