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Finding the Fourth Proportional to 445,437, 668,142.54 and 164,948.04

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Solution

The fourth proportional to 445,437, 668,142.54 and 164,948.04 is: 247,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,437 : 668,142.54 = 164,948.04 : x
  2. Step 2: Convert to fraction form
    445,437/668,142.54 = 164,948.04/x
  3. Step 3: Cross multiply
    445,437x = 668,142.54 × 164,948.04
  4. Step 4: Simplify right side
    445,437x = 110,208,802,413.62
  5. Step 5: Solve for x
    x = 110,208,802,413.62/445,437
  6. Step 6: Final answer
    x = 247,417.26

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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.