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Finding the Fourth Proportional to 385,025.56, 577,636.74 and 148,304.68

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Solution

The fourth proportional to 385,025.56, 577,636.74 and 148,304.68 is: 222,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,025.56 : 577,636.74 = 148,304.68 : x
  2. Step 2: Convert to fraction form
    385,025.56/577,636.74 = 148,304.68/x
  3. Step 3: Cross multiply
    385,025.56x = 577,636.74 × 148,304.68
  4. Step 4: Simplify right side
    385,025.56x = 85,666,231,881.94
  5. Step 5: Solve for x
    x = 85,666,231,881.94/385,025.56
  6. Step 6: Final answer
    x = 222,494.92

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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.