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Finding the Fourth Proportional to 402,995.80, 604,527.54 and 122,515.48

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Solution

The fourth proportional to 402,995.80, 604,527.54 and 122,515.48 is: 183,783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,995.80 : 604,527.54 = 122,515.48 : x
  2. Step 2: Convert to fraction form
    402,995.80/604,527.54 = 122,515.48/x
  3. Step 3: Cross multiply
    402,995.80x = 604,527.54 × 122,515.48
  4. Step 4: Simplify right side
    402,995.80x = 74,063,981,736.32
  5. Step 5: Solve for x
    x = 74,063,981,736.32/402,995.80
  6. Step 6: Final answer
    x = 183,783.51

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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.