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Finding the Fourth Proportional to 455,674.68, 683,507.97 and 152,091.81

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Solution

The fourth proportional to 455,674.68, 683,507.97 and 152,091.81 is: 228,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,674.68 : 683,507.97 = 152,091.81 : x
  2. Step 2: Convert to fraction form
    455,674.68/683,507.97 = 152,091.81/x
  3. Step 3: Cross multiply
    455,674.68x = 683,507.97 × 152,091.81
  4. Step 4: Simplify right side
    455,674.68x = 103,955,964,306.73
  5. Step 5: Solve for x
    x = 103,955,964,306.73/455,674.68
  6. Step 6: Final answer
    x = 228,136.36

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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.