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Finding the Fourth Proportional to 415,270.60, 623,597.10 and 228,416.20

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Solution

The fourth proportional to 415,270.60, 623,597.10 and 228,416.20 is: 343,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,270.60 : 623,597.10 = 228,416.20 : x
  2. Step 2: Convert to fraction form
    415,270.60/623,597.10 = 228,416.20/x
  3. Step 3: Cross multiply
    415,270.60x = 623,597.10 × 228,416.20
  4. Step 4: Simplify right side
    415,270.60x = 142,439,679,913.02
  5. Step 5: Solve for x
    x = 142,439,679,913.02/415,270.60
  6. Step 6: Final answer
    x = 343,004.49

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Why These Related Problems?

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