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Finding the Fourth Proportional to 296,704.64, 409,468.80 and 169,421.12

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Solution

The fourth proportional to 296,704.64, 409,468.80 and 169,421.12 is: 233,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,704.64 : 409,468.80 = 169,421.12 : x
  2. Step 2: Convert to fraction form
    296,704.64/409,468.80 = 169,421.12/x
  3. Step 3: Cross multiply
    296,704.64x = 409,468.80 × 169,421.12
  4. Step 4: Simplify right side
    296,704.64x = 69,372,662,701.06
  5. Step 5: Solve for x
    x = 69,372,662,701.06/296,704.64
  6. Step 6: Final answer
    x = 233,810.51

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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.