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Finding the Fourth Proportional to 497,598, 746,513.64 and 165,174

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Solution

The fourth proportional to 497,598, 746,513.64 and 165,174 is: 247,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,598 : 746,513.64 = 165,174 : x
  2. Step 2: Convert to fraction form
    497,598/746,513.64 = 165,174/x
  3. Step 3: Cross multiply
    497,598x = 746,513.64 × 165,174
  4. Step 4: Simplify right side
    497,598x = 123,304,643,973.36
  5. Step 5: Solve for x
    x = 123,304,643,973.36/497,598
  6. Step 6: Final answer
    x = 247,799.72

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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.