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Finding the Fourth Proportional to 255,711.40, 382,875.90 and 200,415.40

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Solution

The fourth proportional to 255,711.40, 382,875.90 and 200,415.40 is: 300,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,711.40 : 382,875.90 = 200,415.40 : x
  2. Step 2: Convert to fraction form
    255,711.40/382,875.90 = 200,415.40/x
  3. Step 3: Cross multiply
    255,711.40x = 382,875.90 × 200,415.40
  4. Step 4: Simplify right side
    255,711.40x = 76,734,226,648.86
  5. Step 5: Solve for x
    x = 76,734,226,648.86/255,711.40
  6. Step 6: Final answer
    x = 300,081.37

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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.