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Finding the Fourth Proportional to 455,792.40, 683,623.80 and 140,281.20

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Solution

The fourth proportional to 455,792.40, 683,623.80 and 140,281.20 is: 210,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,792.40 : 683,623.80 = 140,281.20 : x
  2. Step 2: Convert to fraction form
    455,792.40/683,623.80 = 140,281.20/x
  3. Step 3: Cross multiply
    455,792.40x = 683,623.80 × 140,281.20
  4. Step 4: Simplify right side
    455,792.40x = 95,899,567,012.56
  5. Step 5: Solve for x
    x = 95,899,567,012.56/455,792.40
  6. Step 6: Final answer
    x = 210,401.86

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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.