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Finding the Fourth Proportional to 601,571.25, 830,168.33 and 359,864.01

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Solution

The fourth proportional to 601,571.25, 830,168.33 and 359,864.01 is: 496,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,571.25 : 830,168.33 = 359,864.01 : x
  2. Step 2: Convert to fraction form
    601,571.25/830,168.33 = 359,864.01/x
  3. Step 3: Cross multiply
    601,571.25x = 830,168.33 × 359,864.01
  4. Step 4: Simplify right side
    601,571.25x = 298,747,702,409.48
  5. Step 5: Solve for x
    x = 298,747,702,409.48/601,571.25
  6. Step 6: Final answer
    x = 496,612.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.