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Finding the Fourth Proportional to 507,301.40, 760,984.89 and 170,328.44

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Solution

The fourth proportional to 507,301.40, 760,984.89 and 170,328.44 is: 255,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,301.40 : 760,984.89 = 170,328.44 : x
  2. Step 2: Convert to fraction form
    507,301.40/760,984.89 = 170,328.44/x
  3. Step 3: Cross multiply
    507,301.40x = 760,984.89 × 170,328.44
  4. Step 4: Simplify right side
    507,301.40x = 129,617,369,177.27
  5. Step 5: Solve for x
    x = 129,617,369,177.27/507,301.40
  6. Step 6: Final answer
    x = 255,503.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.