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Finding the Fourth Proportional to 504,046.05, 756,069.08 and 472,942.05

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Solution

The fourth proportional to 504,046.05, 756,069.08 and 472,942.05 is: 709,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,046.05 : 756,069.08 = 472,942.05 : x
  2. Step 2: Convert to fraction form
    504,046.05/756,069.08 = 472,942.05/x
  3. Step 3: Cross multiply
    504,046.05x = 756,069.08 × 472,942.05
  4. Step 4: Simplify right side
    504,046.05x = 357,576,858,272.10
  5. Step 5: Solve for x
    x = 357,576,858,272.10/504,046.05
  6. Step 6: Final answer
    x = 709,413.08

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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.