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Finding the Fourth Proportional to 434,462.80, 651,888.60 and 197,683.60

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Solution

The fourth proportional to 434,462.80, 651,888.60 and 197,683.60 is: 296,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,462.80 : 651,888.60 = 197,683.60 : x
  2. Step 2: Convert to fraction form
    434,462.80/651,888.60 = 197,683.60/x
  3. Step 3: Cross multiply
    434,462.80x = 651,888.60 × 197,683.60
  4. Step 4: Simplify right side
    434,462.80x = 128,867,685,246.96
  5. Step 5: Solve for x
    x = 128,867,685,246.96/434,462.80
  6. Step 6: Final answer
    x = 296,613.85

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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.