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Finding the Fourth Proportional to 535,419.73, 802,871.23 and 310,836.70

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Solution

The fourth proportional to 535,419.73, 802,871.23 and 310,836.70 is: 466,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,419.73 : 802,871.23 = 310,836.70 : x
  2. Step 2: Convert to fraction form
    535,419.73/802,871.23 = 310,836.70/x
  3. Step 3: Cross multiply
    535,419.73x = 802,871.23 × 310,836.70
  4. Step 4: Simplify right side
    535,419.73x = 249,561,843,658.14
  5. Step 5: Solve for x
    x = 249,561,843,658.14/535,419.73
  6. Step 6: Final answer
    x = 466,105.06

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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.