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Finding the Fourth Proportional to 415,408.40, 623,266.20 and 400,048.40

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Solution

The fourth proportional to 415,408.40, 623,266.20 and 400,048.40 is: 600,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,408.40 : 623,266.20 = 400,048.40 : x
  2. Step 2: Convert to fraction form
    415,408.40/623,266.20 = 400,048.40/x
  3. Step 3: Cross multiply
    415,408.40x = 623,266.20 × 400,048.40
  4. Step 4: Simplify right side
    415,408.40x = 249,336,646,084.08
  5. Step 5: Solve for x
    x = 249,336,646,084.08/415,408.40
  6. Step 6: Final answer
    x = 600,220.52

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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.