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Finding the Fourth Proportional to 455,885.84, 683,923.80 and 140,327.12

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Solution

The fourth proportional to 455,885.84, 683,923.80 and 140,327.12 is: 210,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,885.84 : 683,923.80 = 140,327.12 : x
  2. Step 2: Convert to fraction form
    455,885.84/683,923.80 = 140,327.12/x
  3. Step 3: Cross multiply
    455,885.84x = 683,923.80 × 140,327.12
  4. Step 4: Simplify right side
    455,885.84x = 95,973,057,153.46
  5. Step 5: Solve for x
    x = 95,973,057,153.46/455,885.84
  6. Step 6: Final answer
    x = 210,519.93

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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.