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Finding the Fourth Proportional to 497,543, 746,431.14 and 165,119

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Solution

The fourth proportional to 497,543, 746,431.14 and 165,119 is: 247,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,543 : 746,431.14 = 165,119 : x
  2. Step 2: Convert to fraction form
    497,543/746,431.14 = 165,119/x
  3. Step 3: Cross multiply
    497,543x = 746,431.14 × 165,119
  4. Step 4: Simplify right side
    497,543x = 123,249,963,405.66
  5. Step 5: Solve for x
    x = 123,249,963,405.66/497,543
  6. Step 6: Final answer
    x = 247,717.21

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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.