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Finding the Fourth Proportional to 465,958.84, 698,822.70 and 199,689.16

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Solution

The fourth proportional to 465,958.84, 698,822.70 and 199,689.16 is: 299,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,958.84 : 698,822.70 = 199,689.16 : x
  2. Step 2: Convert to fraction form
    465,958.84/698,822.70 = 199,689.16/x
  3. Step 3: Cross multiply
    465,958.84x = 698,822.70 × 199,689.16
  4. Step 4: Simplify right side
    465,958.84x = 139,547,317,951.93
  5. Step 5: Solve for x
    x = 139,547,317,951.93/465,958.84
  6. Step 6: Final answer
    x = 299,484.22

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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.