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Finding the Fourth Proportional to 405,588.96, 559,716.48 and 224,291.52

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Solution

The fourth proportional to 405,588.96, 559,716.48 and 224,291.52 is: 309,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,588.96 : 559,716.48 = 224,291.52 : x
  2. Step 2: Convert to fraction form
    405,588.96/559,716.48 = 224,291.52/x
  3. Step 3: Cross multiply
    405,588.96x = 559,716.48 × 224,291.52
  4. Step 4: Simplify right side
    405,588.96x = 125,539,660,068.25
  5. Step 5: Solve for x
    x = 125,539,660,068.25/405,588.96
  6. Step 6: Final answer
    x = 309,524.35

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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.