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Finding the Fourth Proportional to 405,956.71, 560,212.50 and 224,668.74

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Solution

The fourth proportional to 405,956.71, 560,212.50 and 224,668.74 is: 310,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,956.71 : 560,212.50 = 224,668.74 : x
  2. Step 2: Convert to fraction form
    405,956.71/560,212.50 = 224,668.74/x
  3. Step 3: Cross multiply
    405,956.71x = 560,212.50 × 224,668.74
  4. Step 4: Simplify right side
    405,956.71x = 125,862,236,299.36
  5. Step 5: Solve for x
    x = 125,862,236,299.36/405,956.71
  6. Step 6: Final answer
    x = 310,038.57

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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.