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Finding the Fourth Proportional to 580,672.50, 801,300.93 and 322,566.17

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Solution

The fourth proportional to 580,672.50, 801,300.93 and 322,566.17 is: 445,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,672.50 : 801,300.93 = 322,566.17 : x
  2. Step 2: Convert to fraction form
    580,672.50/801,300.93 = 322,566.17/x
  3. Step 3: Cross multiply
    580,672.50x = 801,300.93 × 322,566.17
  4. Step 4: Simplify right side
    580,672.50x = 258,472,574,459.60
  5. Step 5: Solve for x
    x = 258,472,574,459.60/580,672.50
  6. Step 6: Final answer
    x = 445,126.26

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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.