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Finding the Fourth Proportional to 382,818.64, 574,184.19 and 102,357.76

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Solution

The fourth proportional to 382,818.64, 574,184.19 and 102,357.76 is: 153,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,818.64 : 574,184.19 = 102,357.76 : x
  2. Step 2: Convert to fraction form
    382,818.64/574,184.19 = 102,357.76/x
  3. Step 3: Cross multiply
    382,818.64x = 574,184.19 × 102,357.76
  4. Step 4: Simplify right side
    382,818.64x = 58,772,207,515.81
  5. Step 5: Solve for x
    x = 58,772,207,515.81/382,818.64
  6. Step 6: Final answer
    x = 153,524.94

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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.