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Finding the Fourth Proportional to 405,346.01, 559,367.64 and 224,053.28

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Solution

The fourth proportional to 405,346.01, 559,367.64 and 224,053.28 is: 309,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,346.01 : 559,367.64 = 224,053.28 : x
  2. Step 2: Convert to fraction form
    405,346.01/559,367.64 = 224,053.28/x
  3. Step 3: Cross multiply
    405,346.01x = 559,367.64 × 224,053.28
  4. Step 4: Simplify right side
    405,346.01x = 125,328,151,671.02
  5. Step 5: Solve for x
    x = 125,328,151,671.02/405,346.01
  6. Step 6: Final answer
    x = 309,188.08

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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.