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Finding the Fourth Proportional to 535,654, 803,706.28 and 333,419.17

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Solution

The fourth proportional to 535,654, 803,706.28 and 333,419.17 is: 500,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,654 : 803,706.28 = 333,419.17 : x
  2. Step 2: Convert to fraction form
    535,654/803,706.28 = 333,419.17/x
  3. Step 3: Cross multiply
    535,654x = 803,706.28 × 333,419.17
  4. Step 4: Simplify right side
    535,654x = 267,971,080,801.39
  5. Step 5: Solve for x
    x = 267,971,080,801.39/535,654
  6. Step 6: Final answer
    x = 500,268.98

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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.