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Finding the Fourth Proportional to 614,287.58, 848,149.10 and 430,916

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Solution

The fourth proportional to 614,287.58, 848,149.10 and 430,916 is: 594,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,287.58 : 848,149.10 = 430,916 : x
  2. Step 2: Convert to fraction form
    614,287.58/848,149.10 = 430,916/x
  3. Step 3: Cross multiply
    614,287.58x = 848,149.10 × 430,916
  4. Step 4: Simplify right side
    614,287.58x = 365,481,017,575.60
  5. Step 5: Solve for x
    x = 365,481,017,575.60/614,287.58
  6. Step 6: Final answer
    x = 594,967.29

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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.