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Finding the Fourth Proportional to 516,362.96, 772,886.82 and 275,875.88

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Solution

The fourth proportional to 516,362.96, 772,886.82 and 275,875.88 is: 412,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,362.96 : 772,886.82 = 275,875.88 : x
  2. Step 2: Convert to fraction form
    516,362.96/772,886.82 = 275,875.88/x
  3. Step 3: Cross multiply
    516,362.96x = 772,886.82 × 275,875.88
  4. Step 4: Simplify right side
    516,362.96x = 213,220,831,607.90
  5. Step 5: Solve for x
    x = 213,220,831,607.90/516,362.96
  6. Step 6: Final answer
    x = 412,928.21

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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.