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Finding the Fourth Proportional to 820,435.86, 1,132,258.32 and 457,930.44

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Solution

The fourth proportional to 820,435.86, 1,132,258.32 and 457,930.44 is: 631,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,435.86 : 1,132,258.32 = 457,930.44 : x
  2. Step 2: Convert to fraction form
    820,435.86/1,132,258.32 = 457,930.44/x
  3. Step 3: Cross multiply
    820,435.86x = 1,132,258.32 × 457,930.44
  4. Step 4: Simplify right side
    820,435.86x = 518,495,550,671.26
  5. Step 5: Solve for x
    x = 518,495,550,671.26/820,435.86
  6. Step 6: Final answer
    x = 631,975.73

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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.