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Finding the Fourth Proportional to 313,213.60, 432,235.04 and 169,973.64

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Solution

The fourth proportional to 313,213.60, 432,235.04 and 169,973.64 is: 234,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,213.60 : 432,235.04 = 169,973.64 : x
  2. Step 2: Convert to fraction form
    313,213.60/432,235.04 = 169,973.64/x
  3. Step 3: Cross multiply
    313,213.60x = 432,235.04 × 169,973.64
  4. Step 4: Simplify right side
    313,213.60x = 73,468,563,084.35
  5. Step 5: Solve for x
    x = 73,468,563,084.35/313,213.60
  6. Step 6: Final answer
    x = 234,563.77

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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.