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Finding the Fourth Proportional to 406,055.49, 560,361.54 and 224,784.18

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Solution

The fourth proportional to 406,055.49, 560,361.54 and 224,784.18 is: 310,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,055.49 : 560,361.54 = 224,784.18 : x
  2. Step 2: Convert to fraction form
    406,055.49/560,361.54 = 224,784.18/x
  3. Step 3: Cross multiply
    406,055.49x = 560,361.54 × 224,784.18
  4. Step 4: Simplify right side
    406,055.49x = 125,960,409,272.44
  5. Step 5: Solve for x
    x = 125,960,409,272.44/406,055.49
  6. Step 6: Final answer
    x = 310,204.92

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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.