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Finding the Fourth Proportional to 405,443.16, 559,523.25 and 224,166.80

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Solution

The fourth proportional to 405,443.16, 559,523.25 and 224,166.80 is: 309,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,443.16 : 559,523.25 = 224,166.80 : x
  2. Step 2: Convert to fraction form
    405,443.16/559,523.25 = 224,166.80/x
  3. Step 3: Cross multiply
    405,443.16x = 559,523.25 × 224,166.80
  4. Step 4: Simplify right side
    405,443.16x = 125,426,536,478.10
  5. Step 5: Solve for x
    x = 125,426,536,478.10/405,443.16
  6. Step 6: Final answer
    x = 309,356.65

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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.