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Finding the Fourth Proportional to 413,039.40, 619,413.30 and 146,808.60

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Solution

The fourth proportional to 413,039.40, 619,413.30 and 146,808.60 is: 220,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,039.40 : 619,413.30 = 146,808.60 : x
  2. Step 2: Convert to fraction form
    413,039.40/619,413.30 = 146,808.60/x
  3. Step 3: Cross multiply
    413,039.40x = 619,413.30 × 146,808.60
  4. Step 4: Simplify right side
    413,039.40x = 90,935,199,394.38
  5. Step 5: Solve for x
    x = 90,935,199,394.38/413,039.40
  6. Step 6: Final answer
    x = 220,161.08

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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.