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Finding the Fourth Proportional to 313,106.58, 432,087.92 and 169,866.63

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Solution

The fourth proportional to 313,106.58, 432,087.92 and 169,866.63 is: 234,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,106.58 : 432,087.92 = 169,866.63 : x
  2. Step 2: Convert to fraction form
    313,106.58/432,087.92 = 169,866.63/x
  3. Step 3: Cross multiply
    313,106.58x = 432,087.92 × 169,866.63
  4. Step 4: Simplify right side
    313,106.58x = 73,397,318,834.11
  5. Step 5: Solve for x
    x = 73,397,318,834.11/313,106.58
  6. Step 6: Final answer
    x = 234,416.40

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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.