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Finding the Fourth Proportional to 516,203.69, 712,474.85 and 286,839.63

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Solution

The fourth proportional to 516,203.69, 712,474.85 and 286,839.63 is: 395,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,203.69 : 712,474.85 = 286,839.63 : x
  2. Step 2: Convert to fraction form
    516,203.69/712,474.85 = 286,839.63/x
  3. Step 3: Cross multiply
    516,203.69x = 712,474.85 × 286,839.63
  4. Step 4: Simplify right side
    516,203.69x = 204,366,023,075.41
  5. Step 5: Solve for x
    x = 204,366,023,075.41/516,203.69
  6. Step 6: Final answer
    x = 395,901.91

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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.