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Finding the Fourth Proportional to 497,541, 746,428.14 and 165,117

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Solution

The fourth proportional to 497,541, 746,428.14 and 165,117 is: 247,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,541 : 746,428.14 = 165,117 : x
  2. Step 2: Convert to fraction form
    497,541/746,428.14 = 165,117/x
  3. Step 3: Cross multiply
    497,541x = 746,428.14 × 165,117
  4. Step 4: Simplify right side
    497,541x = 123,247,975,192.38
  5. Step 5: Solve for x
    x = 123,247,975,192.38/497,541
  6. Step 6: Final answer
    x = 247,714.21

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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.