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Finding the Fourth Proportional to 686,329.26, 946,907.19 and 414,294

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Solution

The fourth proportional to 686,329.26, 946,907.19 and 414,294 is: 571,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,329.26 : 946,907.19 = 414,294 : x
  2. Step 2: Convert to fraction form
    686,329.26/946,907.19 = 414,294/x
  3. Step 3: Cross multiply
    686,329.26x = 946,907.19 × 414,294
  4. Step 4: Simplify right side
    686,329.26x = 392,297,967,373.86
  5. Step 5: Solve for x
    x = 392,297,967,373.86/686,329.26
  6. Step 6: Final answer
    x = 571,588.58

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