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Finding the Fourth Proportional to 284,241.41, 392,242.86 and 156,914.27

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Solution

The fourth proportional to 284,241.41, 392,242.86 and 156,914.27 is: 216,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,241.41 : 392,242.86 = 156,914.27 : x
  2. Step 2: Convert to fraction form
    284,241.41/392,242.86 = 156,914.27/x
  3. Step 3: Cross multiply
    284,241.41x = 392,242.86 × 156,914.27
  4. Step 4: Simplify right side
    284,241.41x = 61,548,500,078.40
  5. Step 5: Solve for x
    x = 61,548,500,078.40/284,241.41
  6. Step 6: Final answer
    x = 216,536.01

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1.5x scale

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.