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Finding the Fourth Proportional to 336,106.48, 463,820.92 and 183,146

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Solution

The fourth proportional to 336,106.48, 463,820.92 and 183,146 is: 252,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,106.48 : 463,820.92 = 183,146 : x
  2. Step 2: Convert to fraction form
    336,106.48/463,820.92 = 183,146/x
  3. Step 3: Cross multiply
    336,106.48x = 463,820.92 × 183,146
  4. Step 4: Simplify right side
    336,106.48x = 84,946,946,214.32
  5. Step 5: Solve for x
    x = 84,946,946,214.32/336,106.48
  6. Step 6: Final answer
    x = 252,738.20

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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.