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Finding the Fourth Proportional to 291,762.30, 402,620.31 and 164,464.32

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Solution

The fourth proportional to 291,762.30, 402,620.31 and 164,464.32 is: 226,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,762.30 : 402,620.31 = 164,464.32 : x
  2. Step 2: Convert to fraction form
    291,762.30/402,620.31 = 164,464.32/x
  3. Step 3: Cross multiply
    291,762.30x = 402,620.31 × 164,464.32
  4. Step 4: Simplify right side
    291,762.30x = 66,216,675,502.34
  5. Step 5: Solve for x
    x = 66,216,675,502.34/291,762.30
  6. Step 6: Final answer
    x = 226,954.19

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1.5x scale

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.