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Finding the Fourth Proportional to 383,913.84, 575,624.71 and 159,429.23

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Solution

The fourth proportional to 383,913.84, 575,624.71 and 159,429.23 is: 239,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,913.84 : 575,624.71 = 159,429.23 : x
  2. Step 2: Convert to fraction form
    383,913.84/575,624.71 = 159,429.23/x
  3. Step 3: Cross multiply
    383,913.84x = 575,624.71 × 159,429.23
  4. Step 4: Simplify right side
    383,913.84x = 91,771,401,007.58
  5. Step 5: Solve for x
    x = 91,771,401,007.58/383,913.84
  6. Step 6: Final answer
    x = 239,041.66

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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.