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Finding the Fourth Proportional to 685,284.84, 946,119.96 and 440,368.38

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Solution

The fourth proportional to 685,284.84, 946,119.96 and 440,368.38 is: 607,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,284.84 : 946,119.96 = 440,368.38 : x
  2. Step 2: Convert to fraction form
    685,284.84/946,119.96 = 440,368.38/x
  3. Step 3: Cross multiply
    685,284.84x = 946,119.96 × 440,368.38
  4. Step 4: Simplify right side
    685,284.84x = 416,641,314,070.87
  5. Step 5: Solve for x
    x = 416,641,314,070.87/685,284.84
  6. Step 6: Final answer
    x = 607,982.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.