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Finding the Fourth Proportional to 301,817.52, 452,922.84 and 114,830.64

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Solution

The fourth proportional to 301,817.52, 452,922.84 and 114,830.64 is: 172,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,817.52 : 452,922.84 = 114,830.64 : x
  2. Step 2: Convert to fraction form
    301,817.52/452,922.84 = 114,830.64/x
  3. Step 3: Cross multiply
    301,817.52x = 452,922.84 × 114,830.64
  4. Step 4: Simplify right side
    301,817.52x = 52,009,419,587.82
  5. Step 5: Solve for x
    x = 52,009,419,587.82/301,817.52
  6. Step 6: Final answer
    x = 172,320.74

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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.