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Finding the Fourth Proportional to 415,622.10, 623,173.14 and 175,611.82

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Solution

The fourth proportional to 415,622.10, 623,173.14 and 175,611.82 is: 263,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,622.10 : 623,173.14 = 175,611.82 : x
  2. Step 2: Convert to fraction form
    415,622.10/623,173.14 = 175,611.82/x
  3. Step 3: Cross multiply
    415,622.10x = 623,173.14 × 175,611.82
  4. Step 4: Simplify right side
    415,622.10x = 109,436,569,290.52
  5. Step 5: Solve for x
    x = 109,436,569,290.52/415,622.10
  6. Step 6: Final answer
    x = 263,307.87

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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.