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Finding the Fourth Proportional to 291,499.38, 402,281.64 and 162,438.03

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Solution

The fourth proportional to 291,499.38, 402,281.64 and 162,438.03 is: 224,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,499.38 : 402,281.64 = 162,438.03 : x
  2. Step 2: Convert to fraction form
    291,499.38/402,281.64 = 162,438.03/x
  3. Step 3: Cross multiply
    291,499.38x = 402,281.64 × 162,438.03
  4. Step 4: Simplify right side
    291,499.38x = 65,345,838,238.19
  5. Step 5: Solve for x
    x = 65,345,838,238.19/291,499.38
  6. Step 6: Final answer
    x = 224,171.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.