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Finding the Fourth Proportional to 384,652.80, 577,041.90 and 118,413.36

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Solution

The fourth proportional to 384,652.80, 577,041.90 and 118,413.36 is: 177,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,652.80 : 577,041.90 = 118,413.36 : x
  2. Step 2: Convert to fraction form
    384,652.80/577,041.90 = 118,413.36/x
  3. Step 3: Cross multiply
    384,652.80x = 577,041.90 × 118,413.36
  4. Step 4: Simplify right side
    384,652.80x = 68,329,470,239.78
  5. Step 5: Solve for x
    x = 68,329,470,239.78/384,652.80
  6. Step 6: Final answer
    x = 177,639.34

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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.