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Finding the Fourth Proportional to 502,066.94, 692,856.87 and 275,714.06

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Solution

The fourth proportional to 502,066.94, 692,856.87 and 275,714.06 is: 380,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,066.94 : 692,856.87 = 275,714.06 : x
  2. Step 2: Convert to fraction form
    502,066.94/692,856.87 = 275,714.06/x
  3. Step 3: Cross multiply
    502,066.94x = 692,856.87 × 275,714.06
  4. Step 4: Simplify right side
    502,066.94x = 191,030,380,626.59
  5. Step 5: Solve for x
    x = 191,030,380,626.59/502,066.94
  6. Step 6: Final answer
    x = 380,487.87

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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.