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Finding the Fourth Proportional to 255,722.40, 383,729.40 and 176,893.20

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Solution

The fourth proportional to 255,722.40, 383,729.40 and 176,893.20 is: 265,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,722.40 : 383,729.40 = 176,893.20 : x
  2. Step 2: Convert to fraction form
    255,722.40/383,729.40 = 176,893.20/x
  3. Step 3: Cross multiply
    255,722.40x = 383,729.40 × 176,893.20
  4. Step 4: Simplify right side
    255,722.40x = 67,879,121,500.08
  5. Step 5: Solve for x
    x = 67,879,121,500.08/255,722.40
  6. Step 6: Final answer
    x = 265,440.66

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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.