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Finding the Fourth Proportional to 497,930.40, 746,895.60 and 160,970.40

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Solution

The fourth proportional to 497,930.40, 746,895.60 and 160,970.40 is: 241,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,930.40 : 746,895.60 = 160,970.40 : x
  2. Step 2: Convert to fraction form
    497,930.40/746,895.60 = 160,970.40/x
  3. Step 3: Cross multiply
    497,930.40x = 746,895.60 × 160,970.40
  4. Step 4: Simplify right side
    497,930.40x = 120,228,083,490.24
  5. Step 5: Solve for x
    x = 120,228,083,490.24/497,930.40
  6. Step 6: Final answer
    x = 241,455.60

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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.