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Finding the Fourth Proportional to 409,925.17, 565,481.64 and 333,529.66

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Solution

The fourth proportional to 409,925.17, 565,481.64 and 333,529.66 is: 460,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,925.17 : 565,481.64 = 333,529.66 : x
  2. Step 2: Convert to fraction form
    409,925.17/565,481.64 = 333,529.66/x
  3. Step 3: Cross multiply
    409,925.17x = 565,481.64 × 333,529.66
  4. Step 4: Simplify right side
    409,925.17x = 188,604,899,125.44
  5. Step 5: Solve for x
    x = 188,604,899,125.44/409,925.17
  6. Step 6: Final answer
    x = 460,095.92

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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.