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Finding the Fourth Proportional to 313,697.88, 432,902.24 and 170,457.92

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Solution

The fourth proportional to 313,697.88, 432,902.24 and 170,457.92 is: 235,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,697.88 : 432,902.24 = 170,457.92 : x
  2. Step 2: Convert to fraction form
    313,697.88/432,902.24 = 170,457.92/x
  3. Step 3: Cross multiply
    313,697.88x = 432,902.24 × 170,457.92
  4. Step 4: Simplify right side
    313,697.88x = 73,791,615,393.74
  5. Step 5: Solve for x
    x = 73,791,615,393.74/313,697.88
  6. Step 6: Final answer
    x = 235,231.48

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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.