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Finding the Fourth Proportional to 361,740.80, 542,457.60 and 174,809.60

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Solution

The fourth proportional to 361,740.80, 542,457.60 and 174,809.60 is: 262,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,740.80 : 542,457.60 = 174,809.60 : x
  2. Step 2: Convert to fraction form
    361,740.80/542,457.60 = 174,809.60/x
  3. Step 3: Cross multiply
    361,740.80x = 542,457.60 × 174,809.60
  4. Step 4: Simplify right side
    361,740.80x = 94,826,796,072.96
  5. Step 5: Solve for x
    x = 94,826,796,072.96/361,740.80
  6. Step 6: Final answer
    x = 262,140.17

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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.