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Finding the Fourth Proportional to 465,746.88, 698,035.80 and 199,194

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Solution

The fourth proportional to 465,746.88, 698,035.80 and 199,194 is: 298,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,746.88 : 698,035.80 = 199,194 : x
  2. Step 2: Convert to fraction form
    465,746.88/698,035.80 = 199,194/x
  3. Step 3: Cross multiply
    465,746.88x = 698,035.80 × 199,194
  4. Step 4: Simplify right side
    465,746.88x = 139,044,543,145.20
  5. Step 5: Solve for x
    x = 139,044,543,145.20/465,746.88
  6. Step 6: Final answer
    x = 298,541.01

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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.