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Finding the Fourth Proportional to 284,945.61, 427,418.94 and 116,465.81

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Solution

The fourth proportional to 284,945.61, 427,418.94 and 116,465.81 is: 174,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,945.61 : 427,418.94 = 116,465.81 : x
  2. Step 2: Convert to fraction form
    284,945.61/427,418.94 = 116,465.81/x
  3. Step 3: Cross multiply
    284,945.61x = 427,418.94 × 116,465.81
  4. Step 4: Simplify right side
    284,945.61x = 49,779,692,522.17
  5. Step 5: Solve for x
    x = 49,779,692,522.17/284,945.61
  6. Step 6: Final answer
    x = 174,698.93

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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.