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Finding the Fourth Proportional to 363,413.64, 501,507 and 202,266.36

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Solution

The fourth proportional to 363,413.64, 501,507 and 202,266.36 is: 279,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,413.64 : 501,507 = 202,266.36 : x
  2. Step 2: Convert to fraction form
    363,413.64/501,507 = 202,266.36/x
  3. Step 3: Cross multiply
    363,413.64x = 501,507 × 202,266.36
  4. Step 4: Simplify right side
    363,413.64x = 101,437,995,404.52
  5. Step 5: Solve for x
    x = 101,437,995,404.52/363,413.64
  6. Step 6: Final answer
    x = 279,125.45

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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.