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Finding the Fourth Proportional to 614,286.58, 848,147.72 and 430,915

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Solution

The fourth proportional to 614,286.58, 848,147.72 and 430,915 is: 594,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,286.58 : 848,147.72 = 430,915 : x
  2. Step 2: Convert to fraction form
    614,286.58/848,147.72 = 430,915/x
  3. Step 3: Cross multiply
    614,286.58x = 848,147.72 × 430,915
  4. Step 4: Simplify right side
    614,286.58x = 365,479,574,763.80
  5. Step 5: Solve for x
    x = 365,479,574,763.80/614,286.58
  6. Step 6: Final answer
    x = 594,965.91

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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.