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Finding the Fourth Proportional to 405,643.06, 559,765.45 and 224,344.41

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Solution

The fourth proportional to 405,643.06, 559,765.45 and 224,344.41 is: 309,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,643.06 : 559,765.45 = 224,344.41 : x
  2. Step 2: Convert to fraction form
    405,643.06/559,765.45 = 224,344.41/x
  3. Step 3: Cross multiply
    405,643.06x = 559,765.45 × 224,344.41
  4. Step 4: Simplify right side
    405,643.06x = 125,580,249,618.63
  5. Step 5: Solve for x
    x = 125,580,249,618.63/405,643.06
  6. Step 6: Final answer
    x = 309,583.13

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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.