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Finding the Fourth Proportional to 382,955.76, 574,389.81 and 102,494.88

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Solution

The fourth proportional to 382,955.76, 574,389.81 and 102,494.88 is: 153,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,955.76 : 574,389.81 = 102,494.88 : x
  2. Step 2: Convert to fraction form
    382,955.76/574,389.81 = 102,494.88/x
  3. Step 3: Cross multiply
    382,955.76x = 574,389.81 × 102,494.88
  4. Step 4: Simplify right side
    382,955.76x = 58,872,014,649.17
  5. Step 5: Solve for x
    x = 58,872,014,649.17/382,955.76
  6. Step 6: Final answer
    x = 153,730.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.