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Finding the Fourth Proportional to 405,077.09, 559,017.68 and 223,800.71

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Solution

The fourth proportional to 405,077.09, 559,017.68 and 223,800.71 is: 308,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,077.09 : 559,017.68 = 223,800.71 : x
  2. Step 2: Convert to fraction form
    405,077.09/559,017.68 = 223,800.71/x
  3. Step 3: Cross multiply
    405,077.09x = 559,017.68 × 223,800.71
  4. Step 4: Simplify right side
    405,077.09x = 125,108,553,965.09
  5. Step 5: Solve for x
    x = 125,108,553,965.09/405,077.09
  6. Step 6: Final answer
    x = 308,851.22

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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.