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Finding the Fourth Proportional to 732,291, 1,010,576.94 and 414,339

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Solution

The fourth proportional to 732,291, 1,010,576.94 and 414,339 is: 571,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,291 : 1,010,576.94 = 414,339 : x
  2. Step 2: Convert to fraction form
    732,291/1,010,576.94 = 414,339/x
  3. Step 3: Cross multiply
    732,291x = 1,010,576.94 × 414,339
  4. Step 4: Simplify right side
    732,291x = 418,721,438,742.66
  5. Step 5: Solve for x
    x = 418,721,438,742.66/732,291
  6. Step 6: Final answer
    x = 571,796.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.