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Finding the Fourth Proportional to 586,698.24, 809,652.96 and 318,426.24

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Solution

The fourth proportional to 586,698.24, 809,652.96 and 318,426.24 is: 439,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,698.24 : 809,652.96 = 318,426.24 : x
  2. Step 2: Convert to fraction form
    586,698.24/809,652.96 = 318,426.24/x
  3. Step 3: Cross multiply
    586,698.24x = 809,652.96 × 318,426.24
  4. Step 4: Simplify right side
    586,698.24x = 257,814,747,757.67
  5. Step 5: Solve for x
    x = 257,814,747,757.67/586,698.24
  6. Step 6: Final answer
    x = 439,433.31

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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.