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Finding the Fourth Proportional to 400,730.54, 601,317.16 and 223,337.52

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Solution

The fourth proportional to 400,730.54, 601,317.16 and 223,337.52 is: 335,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,730.54 : 601,317.16 = 223,337.52 : x
  2. Step 2: Convert to fraction form
    400,730.54/601,317.16 = 223,337.52/x
  3. Step 3: Cross multiply
    400,730.54x = 601,317.16 × 223,337.52
  4. Step 4: Simplify right side
    400,730.54x = 134,296,683,247.84
  5. Step 5: Solve for x
    x = 134,296,683,247.84/400,730.54
  6. Step 6: Final answer
    x = 335,129.64

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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.