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Finding the Fourth Proportional to 345,476.40, 476,746.20 and 211,340.40

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Solution

The fourth proportional to 345,476.40, 476,746.20 and 211,340.40 is: 291,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,476.40 : 476,746.20 = 211,340.40 : x
  2. Step 2: Convert to fraction form
    345,476.40/476,746.20 = 211,340.40/x
  3. Step 3: Cross multiply
    345,476.40x = 476,746.20 × 211,340.40
  4. Step 4: Simplify right side
    345,476.40x = 100,755,732,606.48
  5. Step 5: Solve for x
    x = 100,755,732,606.48/345,476.40
  6. Step 6: Final answer
    x = 291,642.88

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