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Finding the Fourth Proportional to 405,293.40, 559,333.85 and 224,001.43

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Solution

The fourth proportional to 405,293.40, 559,333.85 and 224,001.43 is: 309,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,293.40 : 559,333.85 = 224,001.43 : x
  2. Step 2: Convert to fraction form
    405,293.40/559,333.85 = 224,001.43/x
  3. Step 3: Cross multiply
    405,293.40x = 559,333.85 × 224,001.43
  4. Step 4: Simplify right side
    405,293.40x = 125,291,580,989.07
  5. Step 5: Solve for x
    x = 125,291,580,989.07/405,293.40
  6. Step 6: Final answer
    x = 309,137.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.