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Finding the Fourth Proportional to 255,873.80, 383,810.70 and 224,769.80

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Solution

The fourth proportional to 255,873.80, 383,810.70 and 224,769.80 is: 337,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,873.80 : 383,810.70 = 224,769.80 : x
  2. Step 2: Convert to fraction form
    255,873.80/383,810.70 = 224,769.80/x
  3. Step 3: Cross multiply
    255,873.80x = 383,810.70 × 224,769.80
  4. Step 4: Simplify right side
    255,873.80x = 86,269,054,276.86
  5. Step 5: Solve for x
    x = 86,269,054,276.86/255,873.80
  6. Step 6: Final answer
    x = 337,154.70

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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.