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Finding the Fourth Proportional to 529,538.40, 792,493.20 and 319,327.20

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Solution

The fourth proportional to 529,538.40, 792,493.20 and 319,327.20 is: 477,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,538.40 : 792,493.20 = 319,327.20 : x
  2. Step 2: Convert to fraction form
    529,538.40/792,493.20 = 319,327.20/x
  3. Step 3: Cross multiply
    529,538.40x = 792,493.20 × 319,327.20
  4. Step 4: Simplify right side
    529,538.40x = 253,064,634,575.04
  5. Step 5: Solve for x
    x = 253,064,634,575.04/529,538.40
  6. Step 6: Final answer
    x = 477,896.66

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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.