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Finding the Fourth Proportional to 291,461.36, 402,210.62 and 162,399.32

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Solution

The fourth proportional to 291,461.36, 402,210.62 and 162,399.32 is: 224,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,461.36 : 402,210.62 = 162,399.32 : x
  2. Step 2: Convert to fraction form
    291,461.36/402,210.62 = 162,399.32/x
  3. Step 3: Cross multiply
    291,461.36x = 402,210.62 × 162,399.32
  4. Step 4: Simplify right side
    291,461.36x = 65,318,732,066.98
  5. Step 5: Solve for x
    x = 65,318,732,066.98/291,461.36
  6. Step 6: Final answer
    x = 224,107.69

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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.