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Finding the Fourth Proportional to 405,499, 559,566.04 and 224,200.04

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Solution

The fourth proportional to 405,499, 559,566.04 and 224,200.04 is: 309,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,499 : 559,566.04 = 224,200.04 : x
  2. Step 2: Convert to fraction form
    405,499/559,566.04 = 224,200.04/x
  3. Step 3: Cross multiply
    405,499x = 559,566.04 × 224,200.04
  4. Step 4: Simplify right side
    405,499x = 125,454,727,429.64
  5. Step 5: Solve for x
    x = 125,454,727,429.64/405,499
  6. Step 6: Final answer
    x = 309,383.57

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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.