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Finding the Fourth Proportional to 323,345.16, 446,216.46 and 187,457.94

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Solution

The fourth proportional to 323,345.16, 446,216.46 and 187,457.94 is: 258,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,345.16 : 446,216.46 = 187,457.94 : x
  2. Step 2: Convert to fraction form
    323,345.16/446,216.46 = 187,457.94/x
  3. Step 3: Cross multiply
    323,345.16x = 446,216.46 × 187,457.94
  4. Step 4: Simplify right side
    323,345.16x = 83,646,818,385.69
  5. Step 5: Solve for x
    x = 83,646,818,385.69/323,345.16
  6. Step 6: Final answer
    x = 258,692.04

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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.