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Finding the Fourth Proportional to 516,518.54, 712,813.86 and 287,080.40

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Solution

The fourth proportional to 516,518.54, 712,813.86 and 287,080.40 is: 396,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,518.54 : 712,813.86 = 287,080.40 : x
  2. Step 2: Convert to fraction form
    516,518.54/712,813.86 = 287,080.40/x
  3. Step 3: Cross multiply
    516,518.54x = 712,813.86 × 287,080.40
  4. Step 4: Simplify right side
    516,518.54x = 204,634,888,054.34
  5. Step 5: Solve for x
    x = 204,634,888,054.34/516,518.54
  6. Step 6: Final answer
    x = 396,181.11

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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.