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Finding the Fourth Proportional to 502,103.74, 692,902.34 and 275,749.24

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Solution

The fourth proportional to 502,103.74, 692,902.34 and 275,749.24 is: 380,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,103.74 : 692,902.34 = 275,749.24 : x
  2. Step 2: Convert to fraction form
    502,103.74/692,902.34 = 275,749.24/x
  3. Step 3: Cross multiply
    502,103.74x = 692,902.34 × 275,749.24
  4. Step 4: Simplify right side
    502,103.74x = 191,067,293,649.22
  5. Step 5: Solve for x
    x = 191,067,293,649.22/502,103.74
  6. Step 6: Final answer
    x = 380,533.50

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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.