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Finding the Fourth Proportional to 516,267.60, 712,458.36 and 286,845.90

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Solution

The fourth proportional to 516,267.60, 712,458.36 and 286,845.90 is: 395,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,267.60 : 712,458.36 = 286,845.90 : x
  2. Step 2: Convert to fraction form
    516,267.60/712,458.36 = 286,845.90/x
  3. Step 3: Cross multiply
    516,267.60x = 712,458.36 × 286,845.90
  4. Step 4: Simplify right side
    516,267.60x = 204,365,759,486.72
  5. Step 5: Solve for x
    x = 204,365,759,486.72/516,267.60
  6. Step 6: Final answer
    x = 395,852.38

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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.