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Finding the Fourth Proportional to 405,655.56, 559,782.70 and 224,356.91

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Solution

The fourth proportional to 405,655.56, 559,782.70 and 224,356.91 is: 309,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,655.56 : 559,782.70 = 224,356.91 : x
  2. Step 2: Convert to fraction form
    405,655.56/559,782.70 = 224,356.91/x
  3. Step 3: Cross multiply
    405,655.56x = 559,782.70 × 224,356.91
  4. Step 4: Simplify right side
    405,655.56x = 125,591,113,483.65
  5. Step 5: Solve for x
    x = 125,591,113,483.65/405,655.56
  6. Step 6: Final answer
    x = 309,600.37

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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.