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Finding the Fourth Proportional to 343,476, 473,996.88 and 200,242.08

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Solution

The fourth proportional to 343,476, 473,996.88 and 200,242.08 is: 276,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,476 : 473,996.88 = 200,242.08 : x
  2. Step 2: Convert to fraction form
    343,476/473,996.88 = 200,242.08/x
  3. Step 3: Cross multiply
    343,476x = 473,996.88 × 200,242.08
  4. Step 4: Simplify right side
    343,476x = 94,914,121,164.71
  5. Step 5: Solve for x
    x = 94,914,121,164.71/343,476
  6. Step 6: Final answer
    x = 276,334.07

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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.