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Finding the Fourth Proportional to 502,213.44, 692,765.04 and 300,892.80

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Solution

The fourth proportional to 502,213.44, 692,765.04 and 300,892.80 is: 415,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,213.44 : 692,765.04 = 300,892.80 : x
  2. Step 2: Convert to fraction form
    502,213.44/692,765.04 = 300,892.80/x
  3. Step 3: Cross multiply
    502,213.44x = 692,765.04 × 300,892.80
  4. Step 4: Simplify right side
    502,213.44x = 208,448,012,627.71
  5. Step 5: Solve for x
    x = 208,448,012,627.71/502,213.44
  6. Step 6: Final answer
    x = 415,058.61

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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.