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Finding the Fourth Proportional to 601,571.52, 830,168.64 and 359,864.24

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Solution

The fourth proportional to 601,571.52, 830,168.64 and 359,864.24 is: 496,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,571.52 : 830,168.64 = 359,864.24 : x
  2. Step 2: Convert to fraction form
    601,571.52/830,168.64 = 359,864.24/x
  3. Step 3: Cross multiply
    601,571.52x = 830,168.64 × 359,864.24
  4. Step 4: Simplify right side
    601,571.52x = 298,748,006,705.43
  5. Step 5: Solve for x
    x = 298,748,006,705.43/601,571.52
  6. Step 6: Final answer
    x = 496,612.62

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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.