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Finding the Fourth Proportional to 383,903.37, 575,965.74 and 117,703.17

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Solution

The fourth proportional to 383,903.37, 575,965.74 and 117,703.17 is: 176,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,903.37 : 575,965.74 = 117,703.17 : x
  2. Step 2: Convert to fraction form
    383,903.37/575,965.74 = 117,703.17/x
  3. Step 3: Cross multiply
    383,903.37x = 575,965.74 × 117,703.17
  4. Step 4: Simplify right side
    383,903.37x = 67,792,993,409.40
  5. Step 5: Solve for x
    x = 67,792,993,409.40/383,903.37
  6. Step 6: Final answer
    x = 176,588.69

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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.