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Finding the Fourth Proportional to 530,179.75, 731,642.38 and 315,315.10

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Solution

The fourth proportional to 530,179.75, 731,642.38 and 315,315.10 is: 435,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,179.75 : 731,642.38 = 315,315.10 : x
  2. Step 2: Convert to fraction form
    530,179.75/731,642.38 = 315,315.10/x
  3. Step 3: Cross multiply
    530,179.75x = 731,642.38 × 315,315.10
  4. Step 4: Simplify right side
    530,179.75x = 230,697,890,213.94
  5. Step 5: Solve for x
    x = 230,697,890,213.94/530,179.75
  6. Step 6: Final answer
    x = 435,131.46

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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.