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Finding the Fourth Proportional to 976,696, 1,471,699.24 and 803,092

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Solution

The fourth proportional to 976,696, 1,471,699.24 and 803,092 is: 1,210,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,696 : 1,471,699.24 = 803,092 : x
  2. Step 2: Convert to fraction form
    976,696/1,471,699.24 = 803,092/x
  3. Step 3: Cross multiply
    976,696x = 1,471,699.24 × 803,092
  4. Step 4: Simplify right side
    976,696x = 1,181,909,886,050.08
  5. Step 5: Solve for x
    x = 1,181,909,886,050.08/976,696
  6. Step 6: Final answer
    x = 1,210,110.30

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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.