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Finding the Fourth Proportional to 383,783.40, 575,718.30 and 117,541.80

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Solution

The fourth proportional to 383,783.40, 575,718.30 and 117,541.80 is: 176,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,783.40 : 575,718.30 = 117,541.80 : x
  2. Step 2: Convert to fraction form
    383,783.40/575,718.30 = 117,541.80/x
  3. Step 3: Cross multiply
    383,783.40x = 575,718.30 × 117,541.80
  4. Step 4: Simplify right side
    383,783.40x = 67,670,965,274.94
  5. Step 5: Solve for x
    x = 67,670,965,274.94/383,783.40
  6. Step 6: Final answer
    x = 176,325.93

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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.