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Finding the Fourth Proportional to 508,533.01, 762,495.03 and 171,566.20

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Solution

The fourth proportional to 508,533.01, 762,495.03 and 171,566.20 is: 257,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,533.01 : 762,495.03 = 171,566.20 : x
  2. Step 2: Convert to fraction form
    508,533.01/762,495.03 = 171,566.20/x
  3. Step 3: Cross multiply
    508,533.01x = 762,495.03 × 171,566.20
  4. Step 4: Simplify right side
    508,533.01x = 130,818,372,909.75
  5. Step 5: Solve for x
    x = 130,818,372,909.75/508,533.01
  6. Step 6: Final answer
    x = 257,246.57

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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.