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Finding the Fourth Proportional to 1,310,526.27, 1,964,986.61 and 510,873.62

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Solution

The fourth proportional to 1,310,526.27, 1,964,986.61 and 510,873.62 is: 765,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,526.27 : 1,964,986.61 = 510,873.62 : x
  2. Step 2: Convert to fraction form
    1,310,526.27/1,964,986.61 = 510,873.62/x
  3. Step 3: Cross multiply
    1,310,526.27x = 1,964,986.61 × 510,873.62
  4. Step 4: Simplify right side
    1,310,526.27x = 1,003,859,810,322.93
  5. Step 5: Solve for x
    x = 1,003,859,810,322.93/1,310,526.27
  6. Step 6: Final answer
    x = 765,997.47

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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.