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Finding the Fourth Proportional to 405,473.66, 559,531.04 and 224,175

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Solution

The fourth proportional to 405,473.66, 559,531.04 and 224,175 is: 309,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,473.66 : 559,531.04 = 224,175 : x
  2. Step 2: Convert to fraction form
    405,473.66/559,531.04 = 224,175/x
  3. Step 3: Cross multiply
    405,473.66x = 559,531.04 × 224,175
  4. Step 4: Simplify right side
    405,473.66x = 125,432,871,452.44
  5. Step 5: Solve for x
    x = 125,432,871,452.44/405,473.66
  6. Step 6: Final answer
    x = 309,349.00

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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.