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Finding the Fourth Proportional to 534,960, 738,244.80 and 296,496

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Solution

The fourth proportional to 534,960, 738,244.80 and 296,496 is: 409,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,960 : 738,244.80 = 296,496 : x
  2. Step 2: Convert to fraction form
    534,960/738,244.80 = 296,496/x
  3. Step 3: Cross multiply
    534,960x = 738,244.80 × 296,496
  4. Step 4: Simplify right side
    534,960x = 218,886,630,220.80
  5. Step 5: Solve for x
    x = 218,886,630,220.80/534,960
  6. Step 6: Final answer
    x = 409,164.48

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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.