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Finding the Fourth Proportional to 519,041.64, 716,278.50 and 280,577.64

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Solution

The fourth proportional to 519,041.64, 716,278.50 and 280,577.64 is: 387,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,041.64 : 716,278.50 = 280,577.64 : x
  2. Step 2: Convert to fraction form
    519,041.64/716,278.50 = 280,577.64/x
  3. Step 3: Cross multiply
    519,041.64x = 716,278.50 × 280,577.64
  4. Step 4: Simplify right side
    519,041.64x = 200,971,731,112.74
  5. Step 5: Solve for x
    x = 200,971,731,112.74/519,041.64
  6. Step 6: Final answer
    x = 387,197.70

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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.