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Finding the Fourth Proportional to 580,454.56, 870,355.12 and 201,197.60

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Solution

The fourth proportional to 580,454.56, 870,355.12 and 201,197.60 is: 301,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,454.56 : 870,355.12 = 201,197.60 : x
  2. Step 2: Convert to fraction form
    580,454.56/870,355.12 = 201,197.60/x
  3. Step 3: Cross multiply
    580,454.56x = 870,355.12 × 201,197.60
  4. Step 4: Simplify right side
    580,454.56x = 175,113,361,291.71
  5. Step 5: Solve for x
    x = 175,113,361,291.71/580,454.56
  6. Step 6: Final answer
    x = 301,683.15

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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.