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Finding the Fourth Proportional to 516,005.36, 712,094.39 and 286,577.45

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Solution

The fourth proportional to 516,005.36, 712,094.39 and 286,577.45 is: 395,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,005.36 : 712,094.39 = 286,577.45 : x
  2. Step 2: Convert to fraction form
    516,005.36/712,094.39 = 286,577.45/x
  3. Step 3: Cross multiply
    516,005.36x = 712,094.39 × 286,577.45
  4. Step 4: Simplify right side
    516,005.36x = 204,070,189,452.15
  5. Step 5: Solve for x
    x = 204,070,189,452.15/516,005.36
  6. Step 6: Final answer
    x = 395,480.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.