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Finding the Fourth Proportional to 601,735.26, 830,486.15 and 384,037.86

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Solution

The fourth proportional to 601,735.26, 830,486.15 and 384,037.86 is: 530,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,735.26 : 830,486.15 = 384,037.86 : x
  2. Step 2: Convert to fraction form
    601,735.26/830,486.15 = 384,037.86/x
  3. Step 3: Cross multiply
    601,735.26x = 830,486.15 × 384,037.86
  4. Step 4: Simplify right side
    601,735.26x = 318,938,123,805.64
  5. Step 5: Solve for x
    x = 318,938,123,805.64/601,735.26
  6. Step 6: Final answer
    x = 530,030.64

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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.