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Finding the Fourth Proportional to 385,025.60, 577,527.60 and 174,663.20

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Solution

The fourth proportional to 385,025.60, 577,527.60 and 174,663.20 is: 261,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,025.60 : 577,527.60 = 174,663.20 : x
  2. Step 2: Convert to fraction form
    385,025.60/577,527.60 = 174,663.20/x
  3. Step 3: Cross multiply
    385,025.60x = 577,527.60 × 174,663.20
  4. Step 4: Simplify right side
    385,025.60x = 100,872,818,704.32
  5. Step 5: Solve for x
    x = 100,872,818,704.32/385,025.60
  6. Step 6: Final answer
    x = 261,989.90

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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.