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Finding the Fourth Proportional to 313,594.83, 432,765.50 and 170,357.67

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Solution

The fourth proportional to 313,594.83, 432,765.50 and 170,357.67 is: 235,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,594.83 : 432,765.50 = 170,357.67 : x
  2. Step 2: Convert to fraction form
    313,594.83/432,765.50 = 170,357.67/x
  3. Step 3: Cross multiply
    313,594.83x = 432,765.50 × 170,357.67
  4. Step 4: Simplify right side
    313,594.83x = 73,724,921,384.60
  5. Step 5: Solve for x
    x = 73,724,921,384.60/313,594.83
  6. Step 6: Final answer
    x = 235,096.10

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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.