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Finding the Fourth Proportional to 473,780.32, 710,468.18 and 274,238.44

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Solution

The fourth proportional to 473,780.32, 710,468.18 and 274,238.44 is: 411,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,780.32 : 710,468.18 = 274,238.44 : x
  2. Step 2: Convert to fraction form
    473,780.32/710,468.18 = 274,238.44/x
  3. Step 3: Cross multiply
    473,780.32x = 710,468.18 × 274,238.44
  4. Step 4: Simplify right side
    473,780.32x = 194,837,685,352.84
  5. Step 5: Solve for x
    x = 194,837,685,352.84/473,780.32
  6. Step 6: Final answer
    x = 411,240.56

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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.