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Finding the Fourth Proportional to 516,361.98, 712,577.82 and 286,918.32

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Solution

The fourth proportional to 516,361.98, 712,577.82 and 286,918.32 is: 395,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,361.98 : 712,577.82 = 286,918.32 : x
  2. Step 2: Convert to fraction form
    516,361.98/712,577.82 = 286,918.32/x
  3. Step 3: Cross multiply
    516,361.98x = 712,577.82 × 286,918.32
  4. Step 4: Simplify right side
    516,361.98x = 204,451,630,983.66
  5. Step 5: Solve for x
    x = 204,451,630,983.66/516,361.98
  6. Step 6: Final answer
    x = 395,946.33

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1.5x scale

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.