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Finding the Fourth Proportional to 336,133, 463,863.54 and 185,230

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Solution

The fourth proportional to 336,133, 463,863.54 and 185,230 is: 255,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,133 : 463,863.54 = 185,230 : x
  2. Step 2: Convert to fraction form
    336,133/463,863.54 = 185,230/x
  3. Step 3: Cross multiply
    336,133x = 463,863.54 × 185,230
  4. Step 4: Simplify right side
    336,133x = 85,921,443,514.20
  5. Step 5: Solve for x
    x = 85,921,443,514.20/336,133
  6. Step 6: Final answer
    x = 255,617.40

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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.