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Finding the Fourth Proportional to 255,876.40, 383,123.40 and 200,580.40

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Solution

The fourth proportional to 255,876.40, 383,123.40 and 200,580.40 is: 300,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,876.40 : 383,123.40 = 200,580.40 : x
  2. Step 2: Convert to fraction form
    255,876.40/383,123.40 = 200,580.40/x
  3. Step 3: Cross multiply
    255,876.40x = 383,123.40 × 200,580.40
  4. Step 4: Simplify right side
    255,876.40x = 76,847,044,821.36
  5. Step 5: Solve for x
    x = 76,847,044,821.36/255,876.40
  6. Step 6: Final answer
    x = 300,328.77

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1.5x scale

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.