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Finding the Fourth Proportional to 497,431.96, 746,293.28 and 160,465.17

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Solution

The fourth proportional to 497,431.96, 746,293.28 and 160,465.17 is: 240,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,431.96 : 746,293.28 = 160,465.17 : x
  2. Step 2: Convert to fraction form
    497,431.96/746,293.28 = 160,465.17/x
  3. Step 3: Cross multiply
    497,431.96x = 746,293.28 × 160,465.17
  4. Step 4: Simplify right side
    497,431.96x = 119,754,078,045.06
  5. Step 5: Solve for x
    x = 119,754,078,045.06/497,431.96
  6. Step 6: Final answer
    x = 240,744.64

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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.