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Finding the Fourth Proportional to 284,814.00, 427,314.51 and 116,475.90

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Solution

The fourth proportional to 284,814.00, 427,314.51 and 116,475.90 is: 174,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,814.00 : 427,314.51 = 116,475.90 : x
  2. Step 2: Convert to fraction form
    284,814.00/427,314.51 = 116,475.90/x
  3. Step 3: Cross multiply
    284,814.00x = 427,314.51 × 116,475.90
  4. Step 4: Simplify right side
    284,814.00x = 49,771,842,062.29
  5. Step 5: Solve for x
    x = 49,771,842,062.29/284,814.00
  6. Step 6: Final answer
    x = 174,752.09

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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.