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Finding the Fourth Proportional to 504,069.12, 756,118.26 and 188,465.76

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Solution

The fourth proportional to 504,069.12, 756,118.26 and 188,465.76 is: 282,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,069.12 : 756,118.26 = 188,465.76 : x
  2. Step 2: Convert to fraction form
    504,069.12/756,118.26 = 188,465.76/x
  3. Step 3: Cross multiply
    504,069.12x = 756,118.26 × 188,465.76
  4. Step 4: Simplify right side
    504,069.12x = 142,502,402,520.78
  5. Step 5: Solve for x
    x = 142,502,402,520.78/504,069.12
  6. Step 6: Final answer
    x = 282,704.09

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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.