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Finding the Fourth Proportional to 301,692.46, 452,597.01 and 114,689.38

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Solution

The fourth proportional to 301,692.46, 452,597.01 and 114,689.38 is: 172,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,692.46 : 452,597.01 = 114,689.38 : x
  2. Step 2: Convert to fraction form
    301,692.46/452,597.01 = 114,689.38/x
  3. Step 3: Cross multiply
    301,692.46x = 452,597.01 × 114,689.38
  4. Step 4: Simplify right side
    301,692.46x = 51,908,070,466.75
  5. Step 5: Solve for x
    x = 51,908,070,466.75/301,692.46
  6. Step 6: Final answer
    x = 172,056.24

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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.