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Finding the Fourth Proportional to 296,393.04, 409,025.16 and 169,076.16

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Solution

The fourth proportional to 296,393.04, 409,025.16 and 169,076.16 is: 233,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,393.04 : 409,025.16 = 169,076.16 : x
  2. Step 2: Convert to fraction form
    296,393.04/409,025.16 = 169,076.16/x
  3. Step 3: Cross multiply
    296,393.04x = 409,025.16 × 169,076.16
  4. Step 4: Simplify right side
    296,393.04x = 69,156,403,396.19
  5. Step 5: Solve for x
    x = 69,156,403,396.19/296,393.04
  6. Step 6: Final answer
    x = 233,326.68

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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.