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Finding the Fourth Proportional to 519,983.32, 716,883.06 and 412,907.80

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Solution

The fourth proportional to 519,983.32, 716,883.06 and 412,907.80 is: 569,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,983.32 : 716,883.06 = 412,907.80 : x
  2. Step 2: Convert to fraction form
    519,983.32/716,883.06 = 412,907.80/x
  3. Step 3: Cross multiply
    519,983.32x = 716,883.06 × 412,907.80
  4. Step 4: Simplify right side
    519,983.32x = 296,006,607,161.87
  5. Step 5: Solve for x
    x = 296,006,607,161.87/519,983.32
  6. Step 6: Final answer
    x = 569,261.74

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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.