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Finding the Fourth Proportional to 467,603.42, 701,543.64 and 197,758.02

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Solution

The fourth proportional to 467,603.42, 701,543.64 and 197,758.02 is: 296,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,603.42 : 701,543.64 = 197,758.02 : x
  2. Step 2: Convert to fraction form
    467,603.42/701,543.64 = 197,758.02/x
  3. Step 3: Cross multiply
    467,603.42x = 701,543.64 × 197,758.02
  4. Step 4: Simplify right side
    467,603.42x = 138,735,881,189.99
  5. Step 5: Solve for x
    x = 138,735,881,189.99/467,603.42
  6. Step 6: Final answer
    x = 296,695.61

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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.