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Finding the Fourth Proportional to 519,101.16, 716,309.82 and 315,263.64

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Solution

The fourth proportional to 519,101.16, 716,309.82 and 315,263.64 is: 435,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,101.16 : 716,309.82 = 315,263.64 : x
  2. Step 2: Convert to fraction form
    519,101.16/716,309.82 = 315,263.64/x
  3. Step 3: Cross multiply
    519,101.16x = 716,309.82 × 315,263.64
  4. Step 4: Simplify right side
    519,101.16x = 225,826,441,220.95
  5. Step 5: Solve for x
    x = 225,826,441,220.95/519,101.16
  6. Step 6: Final answer
    x = 435,033.59

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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.