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Finding the Fourth Proportional to 586,910, 809,935.80 and 318,638

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Solution

The fourth proportional to 586,910, 809,935.80 and 318,638 is: 439,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,910 : 809,935.80 = 318,638 : x
  2. Step 2: Convert to fraction form
    586,910/809,935.80 = 318,638/x
  3. Step 3: Cross multiply
    586,910x = 809,935.80 × 318,638
  4. Step 4: Simplify right side
    586,910x = 258,076,323,440.40
  5. Step 5: Solve for x
    x = 258,076,323,440.40/586,910
  6. Step 6: Final answer
    x = 439,720.44

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