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Finding the Fourth Proportional to 497,746.90, 746,729.70 and 160,730.20

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Solution

The fourth proportional to 497,746.90, 746,729.70 and 160,730.20 is: 241,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,746.90 : 746,729.70 = 160,730.20 : x
  2. Step 2: Convert to fraction form
    497,746.90/746,729.70 = 160,730.20/x
  3. Step 3: Cross multiply
    497,746.90x = 746,729.70 × 160,730.20
  4. Step 4: Simplify right side
    497,746.90x = 120,022,014,026.94
  5. Step 5: Solve for x
    x = 120,022,014,026.94/497,746.90
  6. Step 6: Final answer
    x = 241,130.61

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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.