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Finding the Fourth Proportional to 296,865, 409,699.62 and 162,754.92

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Solution

The fourth proportional to 296,865, 409,699.62 and 162,754.92 is: 224,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,865 : 409,699.62 = 162,754.92 : x
  2. Step 2: Convert to fraction form
    296,865/409,699.62 = 162,754.92/x
  3. Step 3: Cross multiply
    296,865x = 409,699.62 × 162,754.92
  4. Step 4: Simplify right side
    296,865x = 66,680,628,877.13
  5. Step 5: Solve for x
    x = 66,680,628,877.13/296,865
  6. Step 6: Final answer
    x = 224,616.00

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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.