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Finding the Fourth Proportional to 455,391.34, 683,097.96 and 155,869.94

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Solution

The fourth proportional to 455,391.34, 683,097.96 and 155,869.94 is: 233,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,391.34 : 683,097.96 = 155,869.94 : x
  2. Step 2: Convert to fraction form
    455,391.34/683,097.96 = 155,869.94/x
  3. Step 3: Cross multiply
    455,391.34x = 683,097.96 × 155,869.94
  4. Step 4: Simplify right side
    455,391.34x = 106,474,438,039.32
  5. Step 5: Solve for x
    x = 106,474,438,039.32/455,391.34
  6. Step 6: Final answer
    x = 233,808.66

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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.