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Finding the Fourth Proportional to 274,328.32, 411,525.36 and 96,798.64

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Solution

The fourth proportional to 274,328.32, 411,525.36 and 96,798.64 is: 145,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,328.32 : 411,525.36 = 96,798.64 : x
  2. Step 2: Convert to fraction form
    274,328.32/411,525.36 = 96,798.64/x
  3. Step 3: Cross multiply
    274,328.32x = 411,525.36 × 96,798.64
  4. Step 4: Simplify right side
    274,328.32x = 39,835,095,173.51
  5. Step 5: Solve for x
    x = 39,835,095,173.51/274,328.32
  6. Step 6: Final answer
    x = 145,209.56

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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.