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Finding the Fourth Proportional to 580,204.51, 870,567.83 and 313,652.95

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Solution

The fourth proportional to 580,204.51, 870,567.83 and 313,652.95 is: 470,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,204.51 : 870,567.83 = 313,652.95 : x
  2. Step 2: Convert to fraction form
    580,204.51/870,567.83 = 313,652.95/x
  3. Step 3: Cross multiply
    580,204.51x = 870,567.83 × 313,652.95
  4. Step 4: Simplify right side
    580,204.51x = 273,056,168,054.60
  5. Step 5: Solve for x
    x = 273,056,168,054.60/580,204.51
  6. Step 6: Final answer
    x = 470,620.55

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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.