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Finding the Fourth Proportional to 284,391.14, 392,457.37 and 157,064

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Solution

The fourth proportional to 284,391.14, 392,457.37 and 157,064 is: 216,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,391.14 : 392,457.37 = 157,064 : x
  2. Step 2: Convert to fraction form
    284,391.14/392,457.37 = 157,064/x
  3. Step 3: Cross multiply
    284,391.14x = 392,457.37 × 157,064
  4. Step 4: Simplify right side
    284,391.14x = 61,640,924,361.68
  5. Step 5: Solve for x
    x = 61,640,924,361.68/284,391.14
  6. Step 6: Final answer
    x = 216,746.99

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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.