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Finding the Fourth Proportional to 385,427.84, 577,746.44 and 148,677.44

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Solution

The fourth proportional to 385,427.84, 577,746.44 and 148,677.44 is: 222,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,427.84 : 577,746.44 = 148,677.44 : x
  2. Step 2: Convert to fraction form
    385,427.84/577,746.44 = 148,677.44/x
  3. Step 3: Cross multiply
    385,427.84x = 577,746.44 × 148,677.44
  4. Step 4: Simplify right side
    385,427.84x = 85,897,861,668.31
  5. Step 5: Solve for x
    x = 85,897,861,668.31/385,427.84
  6. Step 6: Final answer
    x = 222,863.67

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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.