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Finding the Fourth Proportional to 601,584, 830,186.01 and 359,876.76

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Solution

The fourth proportional to 601,584, 830,186.01 and 359,876.76 is: 496,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,584 : 830,186.01 = 359,876.76 : x
  2. Step 2: Convert to fraction form
    601,584/830,186.01 = 359,876.76/x
  3. Step 3: Cross multiply
    601,584x = 830,186.01 × 359,876.76
  4. Step 4: Simplify right side
    601,584x = 298,764,651,476.13
  5. Step 5: Solve for x
    x = 298,764,651,476.13/601,584
  6. Step 6: Final answer
    x = 496,629.98

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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.