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Finding the Fourth Proportional to 405,990.02, 560,267.40 and 224,714.54

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Solution

The fourth proportional to 405,990.02, 560,267.40 and 224,714.54 is: 310,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,990.02 : 560,267.40 = 224,714.54 : x
  2. Step 2: Convert to fraction form
    405,990.02/560,267.40 = 224,714.54/x
  3. Step 3: Cross multiply
    405,990.02x = 560,267.40 × 224,714.54
  4. Step 4: Simplify right side
    405,990.02x = 125,900,231,068.00
  5. Step 5: Solve for x
    x = 125,900,231,068.00/405,990.02
  6. Step 6: Final answer
    x = 310,106.71

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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.