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Finding the Fourth Proportional to 516,093.93, 712,203.84 and 286,653.33

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Solution

The fourth proportional to 516,093.93, 712,203.84 and 286,653.33 is: 395,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,093.93 : 712,203.84 = 286,653.33 : x
  2. Step 2: Convert to fraction form
    516,093.93/712,203.84 = 286,653.33/x
  3. Step 3: Cross multiply
    516,093.93x = 712,203.84 × 286,653.33
  4. Step 4: Simplify right side
    516,093.93x = 204,155,602,374.79
  5. Step 5: Solve for x
    x = 204,155,602,374.79/516,093.93
  6. Step 6: Final answer
    x = 395,578.38

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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.