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Finding the Fourth Proportional to 405,461.10, 559,513.71 and 224,162.45

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Solution

The fourth proportional to 405,461.10, 559,513.71 and 224,162.45 is: 309,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,461.10 : 559,513.71 = 224,162.45 : x
  2. Step 2: Convert to fraction form
    405,461.10/559,513.71 = 224,162.45/x
  3. Step 3: Cross multiply
    405,461.10x = 559,513.71 × 224,162.45
  4. Step 4: Simplify right side
    405,461.10x = 125,421,961,244.62
  5. Step 5: Solve for x
    x = 125,421,961,244.62/405,461.10
  6. Step 6: Final answer
    x = 309,331.68

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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.