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Finding the Fourth Proportional to 519,984.32, 716,884.44 and 412,908.80

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Solution

The fourth proportional to 519,984.32, 716,884.44 and 412,908.80 is: 569,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,984.32 : 716,884.44 = 412,908.80 : x
  2. Step 2: Convert to fraction form
    519,984.32/716,884.44 = 412,908.80/x
  3. Step 3: Cross multiply
    519,984.32x = 716,884.44 × 412,908.80
  4. Step 4: Simplify right side
    519,984.32x = 296,007,893,859.07
  5. Step 5: Solve for x
    x = 296,007,893,859.07/519,984.32
  6. Step 6: Final answer
    x = 569,263.12

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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.