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Finding the Fourth Proportional to 535,433.71, 803,153.30 and 180,450.81

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Solution

The fourth proportional to 535,433.71, 803,153.30 and 180,450.81 is: 270,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,433.71 : 803,153.30 = 180,450.81 : x
  2. Step 2: Convert to fraction form
    535,433.71/803,153.30 = 180,450.81/x
  3. Step 3: Cross multiply
    535,433.71x = 803,153.30 × 180,450.81
  4. Step 4: Simplify right side
    535,433.71x = 144,929,659,072.28
  5. Step 5: Solve for x
    x = 144,929,659,072.28/535,433.71
  6. Step 6: Final answer
    x = 270,677.13

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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.