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Finding the Fourth Proportional to 535,812.09, 803,858.19 and 310,956.37

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Solution

The fourth proportional to 535,812.09, 803,858.19 and 310,956.37 is: 466,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,812.09 : 803,858.19 = 310,956.37 : x
  2. Step 2: Convert to fraction form
    535,812.09/803,858.19 = 310,956.37/x
  3. Step 3: Cross multiply
    535,812.09x = 803,858.19 × 310,956.37
  4. Step 4: Simplify right side
    535,812.09x = 249,964,823,202.39
  5. Step 5: Solve for x
    x = 249,964,823,202.39/535,812.09
  6. Step 6: Final answer
    x = 466,515.83

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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.