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Finding the Fourth Proportional to 976,716, 1,471,729.44 and 803,112

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Solution

The fourth proportional to 976,716, 1,471,729.44 and 803,112 is: 1,210,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,716 : 1,471,729.44 = 803,112 : x
  2. Step 2: Convert to fraction form
    976,716/1,471,729.44 = 803,112/x
  3. Step 3: Cross multiply
    976,716x = 1,471,729.44 × 803,112
  4. Step 4: Simplify right side
    976,716x = 1,181,963,574,017.28
  5. Step 5: Solve for x
    x = 1,181,963,574,017.28/976,716
  6. Step 6: Final answer
    x = 1,210,140.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.