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Finding the Fourth Proportional to 840,858, 1,160,408.64 and 458,909.28

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Solution

The fourth proportional to 840,858, 1,160,408.64 and 458,909.28 is: 633,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,858 : 1,160,408.64 = 458,909.28 : x
  2. Step 2: Convert to fraction form
    840,858/1,160,408.64 = 458,909.28/x
  3. Step 3: Cross multiply
    840,858x = 1,160,408.64 × 458,909.28
  4. Step 4: Simplify right side
    840,858x = 532,522,293,488.18
  5. Step 5: Solve for x
    x = 532,522,293,488.18/840,858
  6. Step 6: Final answer
    x = 633,308.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.