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Finding the Fourth Proportional to 468,272.96, 646,216.64 and 253,413.02

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Solution

The fourth proportional to 468,272.96, 646,216.64 and 253,413.02 is: 349,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,272.96 : 646,216.64 = 253,413.02 : x
  2. Step 2: Convert to fraction form
    468,272.96/646,216.64 = 253,413.02/x
  3. Step 3: Cross multiply
    468,272.96x = 646,216.64 × 253,413.02
  4. Step 4: Simplify right side
    468,272.96x = 163,759,710,316.65
  5. Step 5: Solve for x
    x = 163,759,710,316.65/468,272.96
  6. Step 6: Final answer
    x = 349,709.94

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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.