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Finding the Fourth Proportional to 415,828.40, 623,742.60 and 226,871.60

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Solution

The fourth proportional to 415,828.40, 623,742.60 and 226,871.60 is: 340,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,828.40 : 623,742.60 = 226,871.60 : x
  2. Step 2: Convert to fraction form
    415,828.40/623,742.60 = 226,871.60/x
  3. Step 3: Cross multiply
    415,828.40x = 623,742.60 × 226,871.60
  4. Step 4: Simplify right side
    415,828.40x = 141,509,481,650.16
  5. Step 5: Solve for x
    x = 141,509,481,650.16/415,828.40
  6. Step 6: Final answer
    x = 340,307.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.