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Finding the Fourth Proportional to 405,483.34, 559,543.06 and 224,181.04

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Solution

The fourth proportional to 405,483.34, 559,543.06 and 224,181.04 is: 309,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,483.34 : 559,543.06 = 224,181.04 : x
  2. Step 2: Convert to fraction form
    405,483.34/559,543.06 = 224,181.04/x
  3. Step 3: Cross multiply
    405,483.34x = 559,543.06 × 224,181.04
  4. Step 4: Simplify right side
    405,483.34x = 125,438,945,115.58
  5. Step 5: Solve for x
    x = 125,438,945,115.58/405,483.34
  6. Step 6: Final answer
    x = 309,356.59

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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.