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Finding the Fourth Proportional to 497,360.04, 746,156.64 and 197,857.68

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Solution

The fourth proportional to 497,360.04, 746,156.64 and 197,857.68 is: 296,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,360.04 : 746,156.64 = 197,857.68 : x
  2. Step 2: Convert to fraction form
    497,360.04/746,156.64 = 197,857.68/x
  3. Step 3: Cross multiply
    497,360.04x = 746,156.64 × 197,857.68
  4. Step 4: Simplify right side
    497,360.04x = 147,632,821,707.00
  5. Step 5: Solve for x
    x = 147,632,821,707.00/497,360.04
  6. Step 6: Final answer
    x = 296,832.90

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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.