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Finding the Fourth Proportional to 976,265.32, 1,465,433.16 and 864,670

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Solution

The fourth proportional to 976,265.32, 1,465,433.16 and 864,670 is: 1,297,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,265.32 : 1,465,433.16 = 864,670 : x
  2. Step 2: Convert to fraction form
    976,265.32/1,465,433.16 = 864,670/x
  3. Step 3: Cross multiply
    976,265.32x = 1,465,433.16 × 864,670
  4. Step 4: Simplify right side
    976,265.32x = 1,267,116,090,457.20
  5. Step 5: Solve for x
    x = 1,267,116,090,457.20/976,265.32
  6. Step 6: Final answer
    x = 1,297,921.85

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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.