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Finding the Fourth Proportional to 296,798.50, 409,607.85 and 162,688.42

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Solution

The fourth proportional to 296,798.50, 409,607.85 and 162,688.42 is: 224,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,798.50 : 409,607.85 = 162,688.42 : x
  2. Step 2: Convert to fraction form
    296,798.50/409,607.85 = 162,688.42/x
  3. Step 3: Cross multiply
    296,798.50x = 409,607.85 × 162,688.42
  4. Step 4: Simplify right side
    296,798.50x = 66,638,453,936.10
  5. Step 5: Solve for x
    x = 66,638,453,936.10/296,798.50
  6. Step 6: Final answer
    x = 224,524.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.