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Finding the Fourth Proportional to 497,181.88, 745,802.29 and 155,689.17

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Solution

The fourth proportional to 497,181.88, 745,802.29 and 155,689.17 is: 233,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,181.88 : 745,802.29 = 155,689.17 : x
  2. Step 2: Convert to fraction form
    497,181.88/745,802.29 = 155,689.17/x
  3. Step 3: Cross multiply
    497,181.88x = 745,802.29 × 155,689.17
  4. Step 4: Simplify right side
    497,181.88x = 116,113,338,735.75
  5. Step 5: Solve for x
    x = 116,113,338,735.75/497,181.88
  6. Step 6: Final answer
    x = 233,542.98

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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.