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Finding the Fourth Proportional to 525,314.97, 786,538.15 and 396,854.84

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Solution

The fourth proportional to 525,314.97, 786,538.15 and 396,854.84 is: 594,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,314.97 : 786,538.15 = 396,854.84 : x
  2. Step 2: Convert to fraction form
    525,314.97/786,538.15 = 396,854.84/x
  3. Step 3: Cross multiply
    525,314.97x = 786,538.15 × 396,854.84
  4. Step 4: Simplify right side
    525,314.97x = 312,141,472,646.35
  5. Step 5: Solve for x
    x = 312,141,472,646.35/525,314.97
  6. Step 6: Final answer
    x = 594,198.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.