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Finding the Fourth Proportional to 405,483.04, 559,557.84 and 224,188

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Solution

The fourth proportional to 405,483.04, 559,557.84 and 224,188 is: 309,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,483.04 : 559,557.84 = 224,188 : x
  2. Step 2: Convert to fraction form
    405,483.04/559,557.84 = 224,188/x
  3. Step 3: Cross multiply
    405,483.04x = 559,557.84 × 224,188
  4. Step 4: Simplify right side
    405,483.04x = 125,446,153,033.92
  5. Step 5: Solve for x
    x = 125,446,153,033.92/405,483.04
  6. Step 6: Final answer
    x = 309,374.60

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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.