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Finding the Fourth Proportional to 284,905.01, 427,503.32 and 116,549.75

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Solution

The fourth proportional to 284,905.01, 427,503.32 and 116,549.75 is: 174,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,905.01 : 427,503.32 = 116,549.75 : x
  2. Step 2: Convert to fraction form
    284,905.01/427,503.32 = 116,549.75/x
  3. Step 3: Cross multiply
    284,905.01x = 427,503.32 × 116,549.75
  4. Step 4: Simplify right side
    284,905.01x = 49,825,402,349.90
  5. Step 5: Solve for x
    x = 49,825,402,349.90/284,905.01
  6. Step 6: Final answer
    x = 174,884.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.