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Finding the Fourth Proportional to 405,924.50, 560,176.90 and 224,648.93

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Solution

The fourth proportional to 405,924.50, 560,176.90 and 224,648.93 is: 310,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,924.50 : 560,176.90 = 224,648.93 : x
  2. Step 2: Convert to fraction form
    405,924.50/560,176.90 = 224,648.93/x
  3. Step 3: Cross multiply
    405,924.50x = 560,176.90 × 224,648.93
  4. Step 4: Simplify right side
    405,924.50x = 125,843,141,195.72
  5. Step 5: Solve for x
    x = 125,843,141,195.72/405,924.50
  6. Step 6: Final answer
    x = 310,016.13

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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.