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Finding the Fourth Proportional to 405,701.07, 559,860.56 and 224,412.86

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Solution

The fourth proportional to 405,701.07, 559,860.56 and 224,412.86 is: 309,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,701.07 : 559,860.56 = 224,412.86 : x
  2. Step 2: Convert to fraction form
    405,701.07/559,860.56 = 224,412.86/x
  3. Step 3: Cross multiply
    405,701.07x = 559,860.56 × 224,412.86
  4. Step 4: Simplify right side
    405,701.07x = 125,639,909,470.80
  5. Step 5: Solve for x
    x = 125,639,909,470.80/405,701.07
  6. Step 6: Final answer
    x = 309,685.92

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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.