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Finding the Fourth Proportional to 415,436.81, 573,303.09 and 224,450.15

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Solution

The fourth proportional to 415,436.81, 573,303.09 and 224,450.15 is: 309,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,436.81 : 573,303.09 = 224,450.15 : x
  2. Step 2: Convert to fraction form
    415,436.81/573,303.09 = 224,450.15/x
  3. Step 3: Cross multiply
    415,436.81x = 573,303.09 × 224,450.15
  4. Step 4: Simplify right side
    415,436.81x = 128,677,961,679.45
  5. Step 5: Solve for x
    x = 128,677,961,679.45/415,436.81
  6. Step 6: Final answer
    x = 309,741.36

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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.