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Finding the Fourth Proportional to 497,689.15, 746,531.41 and 156,157.58

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Solution

The fourth proportional to 497,689.15, 746,531.41 and 156,157.58 is: 234,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,689.15 : 746,531.41 = 156,157.58 : x
  2. Step 2: Convert to fraction form
    497,689.15/746,531.41 = 156,157.58/x
  3. Step 3: Cross multiply
    497,689.15x = 746,531.41 × 156,157.58
  4. Step 4: Simplify right side
    497,689.15x = 116,576,538,379.59
  5. Step 5: Solve for x
    x = 116,576,538,379.59/497,689.15
  6. Step 6: Final answer
    x = 234,235.64

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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.