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Finding the Fourth Proportional to 349,386.14, 523,705.50 and 159,562.06

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Solution

The fourth proportional to 349,386.14, 523,705.50 and 159,562.06 is: 239,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,386.14 : 523,705.50 = 159,562.06 : x
  2. Step 2: Convert to fraction form
    349,386.14/523,705.50 = 159,562.06/x
  3. Step 3: Cross multiply
    349,386.14x = 523,705.50 × 159,562.06
  4. Step 4: Simplify right side
    349,386.14x = 83,563,528,413.33
  5. Step 5: Solve for x
    x = 83,563,528,413.33/349,386.14
  6. Step 6: Final answer
    x = 239,172.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.