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Finding the Fourth Proportional to 423,361.17, 584,437.19 and 283,897.17

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Solution

The fourth proportional to 423,361.17, 584,437.19 and 283,897.17 is: 391,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,361.17 : 584,437.19 = 283,897.17 : x
  2. Step 2: Convert to fraction form
    423,361.17/584,437.19 = 283,897.17/x
  3. Step 3: Cross multiply
    423,361.17x = 584,437.19 × 283,897.17
  4. Step 4: Simplify right side
    423,361.17x = 165,920,062,864.27
  5. Step 5: Solve for x
    x = 165,920,062,864.27/423,361.17
  6. Step 6: Final answer
    x = 391,911.39

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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.