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Finding the Fourth Proportional to 296,833.92, 409,672.80 and 183,693.12

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Solution

The fourth proportional to 296,833.92, 409,672.80 and 183,693.12 is: 253,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,833.92 : 409,672.80 = 183,693.12 : x
  2. Step 2: Convert to fraction form
    296,833.92/409,672.80 = 183,693.12/x
  3. Step 3: Cross multiply
    296,833.92x = 409,672.80 × 183,693.12
  4. Step 4: Simplify right side
    296,833.92x = 75,254,074,811.14
  5. Step 5: Solve for x
    x = 75,254,074,811.14/296,833.92
  6. Step 6: Final answer
    x = 253,522.49

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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.