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Finding the Fourth Proportional to 809,406.76, 1,117,017.46 and 465,354.30

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Solution

The fourth proportional to 809,406.76, 1,117,017.46 and 465,354.30 is: 642,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,406.76 : 1,117,017.46 = 465,354.30 : x
  2. Step 2: Convert to fraction form
    809,406.76/1,117,017.46 = 465,354.30/x
  3. Step 3: Cross multiply
    809,406.76x = 1,117,017.46 × 465,354.30
  4. Step 4: Simplify right side
    809,406.76x = 519,808,878,186.08
  5. Step 5: Solve for x
    x = 519,808,878,186.08/809,406.76
  6. Step 6: Final answer
    x = 642,209.71

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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.