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Finding the Fourth Proportional to 405,743.62, 608,670.78 and 169,030.90

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Solution

The fourth proportional to 405,743.62, 608,670.78 and 169,030.90 is: 253,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,743.62 : 608,670.78 = 169,030.90 : x
  2. Step 2: Convert to fraction form
    405,743.62/608,670.78 = 169,030.90/x
  3. Step 3: Cross multiply
    405,743.62x = 608,670.78 × 169,030.90
  4. Step 4: Simplify right side
    405,743.62x = 102,884,169,747.10
  5. Step 5: Solve for x
    x = 102,884,169,747.10/405,743.62
  6. Step 6: Final answer
    x = 253,569.41

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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.