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Finding the Fourth Proportional to 402,994.59, 604,470.01 and 122,489.97

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Solution

The fourth proportional to 402,994.59, 604,470.01 and 122,489.97 is: 183,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,994.59 : 604,470.01 = 122,489.97 : x
  2. Step 2: Convert to fraction form
    402,994.59/604,470.01 = 122,489.97/x
  3. Step 3: Cross multiply
    402,994.59x = 604,470.01 × 122,489.97
  4. Step 4: Simplify right side
    402,994.59x = 74,041,513,390.80
  5. Step 5: Solve for x
    x = 74,041,513,390.80/402,994.59
  6. Step 6: Final answer
    x = 183,728.31

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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.