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Finding the Fourth Proportional to 405,370.47, 559,403.01 and 224,090.04

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Solution

The fourth proportional to 405,370.47, 559,403.01 and 224,090.04 is: 309,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,370.47 : 559,403.01 = 224,090.04 : x
  2. Step 2: Convert to fraction form
    405,370.47/559,403.01 = 224,090.04/x
  3. Step 3: Cross multiply
    405,370.47x = 559,403.01 × 224,090.04
  4. Step 4: Simplify right side
    405,370.47x = 125,356,644,984.78
  5. Step 5: Solve for x
    x = 125,356,644,984.78/405,370.47
  6. Step 6: Final answer
    x = 309,239.70

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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.