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Finding the Fourth Proportional to 972,837.86, 1,452,869.85 and 829,151.96

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Solution

The fourth proportional to 972,837.86, 1,452,869.85 and 829,151.96 is: 1,238,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,837.86 : 1,452,869.85 = 829,151.96 : x
  2. Step 2: Convert to fraction form
    972,837.86/1,452,869.85 = 829,151.96/x
  3. Step 3: Cross multiply
    972,837.86x = 1,452,869.85 × 829,151.96
  4. Step 4: Simplify right side
    972,837.86x = 1,204,649,876,488.06
  5. Step 5: Solve for x
    x = 1,204,649,876,488.06/972,837.86
  6. Step 6: Final answer
    x = 1,238,284.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.