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Finding the Fourth Proportional to 455,833.40, 683,868.33 and 242,425.84

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Solution

The fourth proportional to 455,833.40, 683,868.33 and 242,425.84 is: 363,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,833.40 : 683,868.33 = 242,425.84 : x
  2. Step 2: Convert to fraction form
    455,833.40/683,868.33 = 242,425.84/x
  3. Step 3: Cross multiply
    455,833.40x = 683,868.33 × 242,425.84
  4. Step 4: Simplify right side
    455,833.40x = 165,787,354,349.65
  5. Step 5: Solve for x
    x = 165,787,354,349.65/455,833.40
  6. Step 6: Final answer
    x = 363,701.64

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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.