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Finding the Fourth Proportional to 284,904.76, 427,502.94 and 116,549.50

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Solution

The fourth proportional to 284,904.76, 427,502.94 and 116,549.50 is: 174,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,904.76 : 427,502.94 = 116,549.50 : x
  2. Step 2: Convert to fraction form
    284,904.76/427,502.94 = 116,549.50/x
  3. Step 3: Cross multiply
    284,904.76x = 427,502.94 × 116,549.50
  4. Step 4: Simplify right side
    284,904.76x = 49,825,251,185.27
  5. Step 5: Solve for x
    x = 49,825,251,185.27/284,904.76
  6. Step 6: Final answer
    x = 174,883.89

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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.