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Finding the Fourth Proportional to 502,104.25, 692,903.01 and 275,749.75

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Solution

The fourth proportional to 502,104.25, 692,903.01 and 275,749.75 is: 380,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,104.25 : 692,903.01 = 275,749.75 : x
  2. Step 2: Convert to fraction form
    502,104.25/692,903.01 = 275,749.75/x
  3. Step 3: Cross multiply
    502,104.25x = 692,903.01 × 275,749.75
  4. Step 4: Simplify right side
    502,104.25x = 191,067,831,781.75
  5. Step 5: Solve for x
    x = 191,067,831,781.75/502,104.25
  6. Step 6: Final answer
    x = 380,534.19

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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.