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Finding the Fourth Proportional to 557,468.04, 769,413.72 and 363,539.10

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Solution

The fourth proportional to 557,468.04, 769,413.72 and 363,539.10 is: 501,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,468.04 : 769,413.72 = 363,539.10 : x
  2. Step 2: Convert to fraction form
    557,468.04/769,413.72 = 363,539.10/x
  3. Step 3: Cross multiply
    557,468.04x = 769,413.72 × 363,539.10
  4. Step 4: Simplify right side
    557,468.04x = 279,711,971,296.45
  5. Step 5: Solve for x
    x = 279,711,971,296.45/557,468.04
  6. Step 6: Final answer
    x = 501,754.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.