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Finding the Fourth Proportional to 476,206.85, 714,379.99 and 223,513.01

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Solution

The fourth proportional to 476,206.85, 714,379.99 and 223,513.01 is: 335,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,206.85 : 714,379.99 = 223,513.01 : x
  2. Step 2: Convert to fraction form
    476,206.85/714,379.99 = 223,513.01/x
  3. Step 3: Cross multiply
    476,206.85x = 714,379.99 × 223,513.01
  4. Step 4: Simplify right side
    476,206.85x = 159,673,220,816.00
  5. Step 5: Solve for x
    x = 159,673,220,816.00/476,206.85
  6. Step 6: Final answer
    x = 335,302.23

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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.