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Finding the Fourth Proportional to 516,283.76, 712,474.44 and 286,841.36

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Solution

The fourth proportional to 516,283.76, 712,474.44 and 286,841.36 is: 395,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,283.76 : 712,474.44 = 286,841.36 : x
  2. Step 2: Convert to fraction form
    516,283.76/712,474.44 = 286,841.36/x
  3. Step 3: Cross multiply
    516,283.76x = 712,474.44 × 286,841.36
  4. Step 4: Simplify right side
    516,283.76x = 204,367,137,334.84
  5. Step 5: Solve for x
    x = 204,367,137,334.84/516,283.76
  6. Step 6: Final answer
    x = 395,842.66

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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.