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Finding the Fourth Proportional to 601,646.90, 830,053.05 and 359,936.42

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Solution

The fourth proportional to 601,646.90, 830,053.05 and 359,936.42 is: 496,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,646.90 : 830,053.05 = 359,936.42 : x
  2. Step 2: Convert to fraction form
    601,646.90/830,053.05 = 359,936.42/x
  3. Step 3: Cross multiply
    601,646.90x = 830,053.05 × 359,936.42
  4. Step 4: Simplify right side
    601,646.90x = 298,766,323,227.08
  5. Step 5: Solve for x
    x = 298,766,323,227.08/601,646.90
  6. Step 6: Final answer
    x = 496,580.84

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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.