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Finding the Fourth Proportional to 291,324.76, 402,066.50 and 164,025.16

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Solution

The fourth proportional to 291,324.76, 402,066.50 and 164,025.16 is: 226,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,324.76 : 402,066.50 = 164,025.16 : x
  2. Step 2: Convert to fraction form
    291,324.76/402,066.50 = 164,025.16/x
  3. Step 3: Cross multiply
    291,324.76x = 402,066.50 × 164,025.16
  4. Step 4: Simplify right side
    291,324.76x = 65,949,020,167.85
  5. Step 5: Solve for x
    x = 65,949,020,167.85/291,324.76
  6. Step 6: Final answer
    x = 226,376.30

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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.