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Finding the Fourth Proportional to 405,646.04, 559,786.74 and 224,343.74

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Solution

The fourth proportional to 405,646.04, 559,786.74 and 224,343.74 is: 309,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,646.04 : 559,786.74 = 224,343.74 : x
  2. Step 2: Convert to fraction form
    405,646.04/559,786.74 = 224,343.74/x
  3. Step 3: Cross multiply
    405,646.04x = 559,786.74 × 224,343.74
  4. Step 4: Simplify right side
    405,646.04x = 125,584,650,854.01
  5. Step 5: Solve for x
    x = 125,584,650,854.01/405,646.04
  6. Step 6: Final answer
    x = 309,591.71

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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.