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Finding the Fourth Proportional to 513,671.33, 708,804.32 and 295,951.23

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Solution

The fourth proportional to 513,671.33, 708,804.32 and 295,951.23 is: 408,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,671.33 : 708,804.32 = 295,951.23 : x
  2. Step 2: Convert to fraction form
    513,671.33/708,804.32 = 295,951.23/x
  3. Step 3: Cross multiply
    513,671.33x = 708,804.32 × 295,951.23
  4. Step 4: Simplify right side
    513,671.33x = 209,771,510,333.31
  5. Step 5: Solve for x
    x = 209,771,510,333.31/513,671.33
  6. Step 6: Final answer
    x = 408,376.91

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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.