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Finding the Fourth Proportional to 686,196.34, 946,923.61 and 380,285.80

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Solution

The fourth proportional to 686,196.34, 946,923.61 and 380,285.80 is: 524,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,196.34 : 946,923.61 = 380,285.80 : x
  2. Step 2: Convert to fraction form
    686,196.34/946,923.61 = 380,285.80/x
  3. Step 3: Cross multiply
    686,196.34x = 946,923.61 × 380,285.80
  4. Step 4: Simplify right side
    686,196.34x = 360,101,602,567.74
  5. Step 5: Solve for x
    x = 360,101,602,567.74/686,196.34
  6. Step 6: Final answer
    x = 524,779.25

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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.