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Finding the Fourth Proportional to 301,706, 452,617.24 and 114,702.92

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Solution

The fourth proportional to 301,706, 452,617.24 and 114,702.92 is: 172,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,706 : 452,617.24 = 114,702.92 : x
  2. Step 2: Convert to fraction form
    301,706/452,617.24 = 114,702.92/x
  3. Step 3: Cross multiply
    301,706x = 452,617.24 × 114,702.92
  4. Step 4: Simplify right side
    301,706x = 51,916,519,070.34
  5. Step 5: Solve for x
    x = 51,916,519,070.34/301,706
  6. Step 6: Final answer
    x = 172,076.52

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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.