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Finding the Fourth Proportional to 313,767.60, 432,966.24 and 186,425.88

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Solution

The fourth proportional to 313,767.60, 432,966.24 and 186,425.88 is: 257,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,767.60 : 432,966.24 = 186,425.88 : x
  2. Step 2: Convert to fraction form
    313,767.60/432,966.24 = 186,425.88/x
  3. Step 3: Cross multiply
    313,767.60x = 432,966.24 × 186,425.88
  4. Step 4: Simplify right side
    313,767.60x = 80,716,112,302.29
  5. Step 5: Solve for x
    x = 80,716,112,302.29/313,767.60
  6. Step 6: Final answer
    x = 257,248.08

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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.