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Finding the Fourth Proportional to 415,200.36, 572,988.42 and 233,914.26

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Solution

The fourth proportional to 415,200.36, 572,988.42 and 233,914.26 is: 322,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,200.36 : 572,988.42 = 233,914.26 : x
  2. Step 2: Convert to fraction form
    415,200.36/572,988.42 = 233,914.26/x
  3. Step 3: Cross multiply
    415,200.36x = 572,988.42 × 233,914.26
  4. Step 4: Simplify right side
    415,200.36x = 134,030,162,252.87
  5. Step 5: Solve for x
    x = 134,030,162,252.87/415,200.36
  6. Step 6: Final answer
    x = 322,808.40

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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.