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Finding the Fourth Proportional to 296,746.34, 409,527.78 and 182,037.92

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Solution

The fourth proportional to 296,746.34, 409,527.78 and 182,037.92 is: 251,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,746.34 : 409,527.78 = 182,037.92 : x
  2. Step 2: Convert to fraction form
    296,746.34/409,527.78 = 182,037.92/x
  3. Step 3: Cross multiply
    296,746.34x = 409,527.78 × 182,037.92
  4. Step 4: Simplify right side
    296,746.34x = 74,549,585,253.42
  5. Step 5: Solve for x
    x = 74,549,585,253.42/296,746.34
  6. Step 6: Final answer
    x = 251,223.27

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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.