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Finding the Fourth Proportional to 580,539.50, 801,146.43 and 322,417.10

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Solution

The fourth proportional to 580,539.50, 801,146.43 and 322,417.10 is: 444,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,539.50 : 801,146.43 = 322,417.10 : x
  2. Step 2: Convert to fraction form
    580,539.50/801,146.43 = 322,417.10/x
  3. Step 3: Cross multiply
    580,539.50x = 801,146.43 × 322,417.10
  4. Step 4: Simplify right side
    580,539.50x = 258,303,308,635.95
  5. Step 5: Solve for x
    x = 258,303,308,635.95/580,539.50
  6. Step 6: Final answer
    x = 444,936.66

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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.