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Finding the Fourth Proportional to 284,826.26, 427,332.91 and 116,488.16

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Solution

The fourth proportional to 284,826.26, 427,332.91 and 116,488.16 is: 174,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,826.26 : 427,332.91 = 116,488.16 : x
  2. Step 2: Convert to fraction form
    284,826.26/427,332.91 = 116,488.16/x
  3. Step 3: Cross multiply
    284,826.26x = 427,332.91 × 116,488.16
  4. Step 4: Simplify right side
    284,826.26x = 49,779,224,393.35
  5. Step 5: Solve for x
    x = 49,779,224,393.35/284,826.26
  6. Step 6: Final answer
    x = 174,770.49

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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.