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Finding the Fourth Proportional to 416,125.10, 623,131.65 and 228,925.10

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Solution

The fourth proportional to 416,125.10, 623,131.65 and 228,925.10 is: 342,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,125.10 : 623,131.65 = 228,925.10 : x
  2. Step 2: Convert to fraction form
    416,125.10/623,131.65 = 228,925.10/x
  3. Step 3: Cross multiply
    416,125.10x = 623,131.65 × 228,925.10
  4. Step 4: Simplify right side
    416,125.10x = 142,650,475,289.42
  5. Step 5: Solve for x
    x = 142,650,475,289.42/416,125.10
  6. Step 6: Final answer
    x = 342,806.71

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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.