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Finding the Fourth Proportional to 535,263.20, 802,214.40 and 219,363.20

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Solution

The fourth proportional to 535,263.20, 802,214.40 and 219,363.20 is: 328,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,263.20 : 802,214.40 = 219,363.20 : x
  2. Step 2: Convert to fraction form
    535,263.20/802,214.40 = 219,363.20/x
  3. Step 3: Cross multiply
    535,263.20x = 802,214.40 × 219,363.20
  4. Step 4: Simplify right side
    535,263.20x = 175,976,317,870.08
  5. Step 5: Solve for x
    x = 175,976,317,870.08/535,263.20
  6. Step 6: Final answer
    x = 328,765.96

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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.