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Finding the Fourth Proportional to 533,257.40, 735,903.96 and 318,416.24

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Solution

The fourth proportional to 533,257.40, 735,903.96 and 318,416.24 is: 439,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,257.40 : 735,903.96 = 318,416.24 : x
  2. Step 2: Convert to fraction form
    533,257.40/735,903.96 = 318,416.24/x
  3. Step 3: Cross multiply
    533,257.40x = 735,903.96 × 318,416.24
  4. Step 4: Simplify right side
    533,257.40x = 234,323,771,944.31
  5. Step 5: Solve for x
    x = 234,323,771,944.31/533,257.40
  6. Step 6: Final answer
    x = 439,419.63

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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.