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Finding the Fourth Proportional to 285,773.24, 428,683.14 and 143,545.32

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Solution

The fourth proportional to 285,773.24, 428,683.14 and 143,545.32 is: 215,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,773.24 : 428,683.14 = 143,545.32 : x
  2. Step 2: Convert to fraction form
    285,773.24/428,683.14 = 143,545.32/x
  3. Step 3: Cross multiply
    285,773.24x = 428,683.14 × 143,545.32
  4. Step 4: Simplify right side
    285,773.24x = 61,535,458,509.90
  5. Step 5: Solve for x
    x = 61,535,458,509.90/285,773.24
  6. Step 6: Final answer
    x = 215,329.67

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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.