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Finding the Fourth Proportional to 516,315.25, 712,315.38 and 380,671.03

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Solution

The fourth proportional to 516,315.25, 712,315.38 and 380,671.03 is: 525,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,315.25 : 712,315.38 = 380,671.03 : x
  2. Step 2: Convert to fraction form
    516,315.25/712,315.38 = 380,671.03/x
  3. Step 3: Cross multiply
    516,315.25x = 712,315.38 × 380,671.03
  4. Step 4: Simplify right side
    516,315.25x = 271,157,829,389.44
  5. Step 5: Solve for x
    x = 271,157,829,389.44/516,315.25
  6. Step 6: Final answer
    x = 525,178.81

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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.