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Finding the Fourth Proportional to 580,681.92, 870,683.76 and 225,280.64

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Solution

The fourth proportional to 580,681.92, 870,683.76 and 225,280.64 is: 337,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,681.92 : 870,683.76 = 225,280.64 : x
  2. Step 2: Convert to fraction form
    580,681.92/870,683.76 = 225,280.64/x
  3. Step 3: Cross multiply
    580,681.92x = 870,683.76 × 225,280.64
  4. Step 4: Simplify right side
    580,681.92x = 196,148,194,690.41
  5. Step 5: Solve for x
    x = 196,148,194,690.41/580,681.92
  6. Step 6: Final answer
    x = 337,789.40

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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.