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Finding the Fourth Proportional to 590,413.04, 814,769.52 and 322,141.04

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Solution

The fourth proportional to 590,413.04, 814,769.52 and 322,141.04 is: 444,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,413.04 : 814,769.52 = 322,141.04 : x
  2. Step 2: Convert to fraction form
    590,413.04/814,769.52 = 322,141.04/x
  3. Step 3: Cross multiply
    590,413.04x = 814,769.52 × 322,141.04
  4. Step 4: Simplify right side
    590,413.04x = 262,470,700,533.10
  5. Step 5: Solve for x
    x = 262,470,700,533.10/590,413.04
  6. Step 6: Final answer
    x = 444,554.38

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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.