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Finding the Fourth Proportional to 402,182.54, 603,265.98 and 162,290.08

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Solution

The fourth proportional to 402,182.54, 603,265.98 and 162,290.08 is: 243,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,182.54 : 603,265.98 = 162,290.08 : x
  2. Step 2: Convert to fraction form
    402,182.54/603,265.98 = 162,290.08/x
  3. Step 3: Cross multiply
    402,182.54x = 603,265.98 × 162,290.08
  4. Step 4: Simplify right side
    402,182.54x = 97,904,084,605.27
  5. Step 5: Solve for x
    x = 97,904,084,605.27/402,182.54
  6. Step 6: Final answer
    x = 243,431.96

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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.