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Finding the Fourth Proportional to 343,610, 474,233.64 and 209,551.76

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Solution

The fourth proportional to 343,610, 474,233.64 and 209,551.76 is: 289,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,610 : 474,233.64 = 209,551.76 : x
  2. Step 2: Convert to fraction form
    343,610/474,233.64 = 209,551.76/x
  3. Step 3: Cross multiply
    343,610x = 474,233.64 × 209,551.76
  4. Step 4: Simplify right side
    343,610x = 99,376,493,913.21
  5. Step 5: Solve for x
    x = 99,376,493,913.21/343,610
  6. Step 6: Final answer
    x = 289,213.04

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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.