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Finding the Fourth Proportional to 467,342, 644,931.96 and 255,374

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Solution

The fourth proportional to 467,342, 644,931.96 and 255,374 is: 352,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,342 : 644,931.96 = 255,374 : x
  2. Step 2: Convert to fraction form
    467,342/644,931.96 = 255,374/x
  3. Step 3: Cross multiply
    467,342x = 644,931.96 × 255,374
  4. Step 4: Simplify right side
    467,342x = 164,698,854,353.04
  5. Step 5: Solve for x
    x = 164,698,854,353.04/467,342
  6. Step 6: Final answer
    x = 352,416.12

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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.