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Finding the Fourth Proportional to 313,711.34, 432,886.50 and 177,716.16

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Solution

The fourth proportional to 313,711.34, 432,886.50 and 177,716.16 is: 245,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,711.34 : 432,886.50 = 177,716.16 : x
  2. Step 2: Convert to fraction form
    313,711.34/432,886.50 = 177,716.16/x
  3. Step 3: Cross multiply
    313,711.34x = 432,886.50 × 177,716.16
  4. Step 4: Simplify right side
    313,711.34x = 76,930,926,495.84
  5. Step 5: Solve for x
    x = 76,930,926,495.84/313,711.34
  6. Step 6: Final answer
    x = 245,228.39

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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.