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Finding the Fourth Proportional to 495,187.44, 742,322.52 and 179,559.60

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Solution

The fourth proportional to 495,187.44, 742,322.52 and 179,559.60 is: 269,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,187.44 : 742,322.52 = 179,559.60 : x
  2. Step 2: Convert to fraction form
    495,187.44/742,322.52 = 179,559.60/x
  3. Step 3: Cross multiply
    495,187.44x = 742,322.52 × 179,559.60
  4. Step 4: Simplify right side
    495,187.44x = 133,291,134,762.19
  5. Step 5: Solve for x
    x = 133,291,134,762.19/495,187.44
  6. Step 6: Final answer
    x = 269,173.09

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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.