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Finding the Fourth Proportional to 535,276.64, 802,215.04 and 219,363.68

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Solution

The fourth proportional to 535,276.64, 802,215.04 and 219,363.68 is: 328,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,276.64 : 802,215.04 = 219,363.68 : x
  2. Step 2: Convert to fraction form
    535,276.64/802,215.04 = 219,363.68/x
  3. Step 3: Cross multiply
    535,276.64x = 802,215.04 × 219,363.68
  4. Step 4: Simplify right side
    535,276.64x = 175,976,843,325.75
  5. Step 5: Solve for x
    x = 175,976,843,325.75/535,276.64
  6. Step 6: Final answer
    x = 328,758.68

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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.