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Finding the Fourth Proportional to 405,442.65, 559,522.54 and 224,166.29

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Solution

The fourth proportional to 405,442.65, 559,522.54 and 224,166.29 is: 309,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,442.65 : 559,522.54 = 224,166.29 : x
  2. Step 2: Convert to fraction form
    405,442.65/559,522.54 = 224,166.29/x
  3. Step 3: Cross multiply
    405,442.65x = 559,522.54 × 224,166.29
  4. Step 4: Simplify right side
    405,442.65x = 125,426,089,445.77
  5. Step 5: Solve for x
    x = 125,426,089,445.77/405,442.65
  6. Step 6: Final answer
    x = 309,355.93

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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.