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Finding the Fourth Proportional to 446,136.46, 615,202.49 and 264,813.50

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Solution

The fourth proportional to 446,136.46, 615,202.49 and 264,813.50 is: 365,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,136.46 : 615,202.49 = 264,813.50 : x
  2. Step 2: Convert to fraction form
    446,136.46/615,202.49 = 264,813.50/x
  3. Step 3: Cross multiply
    446,136.46x = 615,202.49 × 264,813.50
  4. Step 4: Simplify right side
    446,136.46x = 162,913,926,785.66
  5. Step 5: Solve for x
    x = 162,913,926,785.66/446,136.46
  6. Step 6: Final answer
    x = 365,166.14

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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.