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Finding the Fourth Proportional to 484,214.60, 725,447.10 and 414,230.60

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Solution

The fourth proportional to 484,214.60, 725,447.10 and 414,230.60 is: 620,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,214.60 : 725,447.10 = 414,230.60 : x
  2. Step 2: Convert to fraction form
    484,214.60/725,447.10 = 414,230.60/x
  3. Step 3: Cross multiply
    484,214.60x = 725,447.10 × 414,230.60
  4. Step 4: Simplify right side
    484,214.60x = 300,502,387,501.26
  5. Step 5: Solve for x
    x = 300,502,387,501.26/484,214.60
  6. Step 6: Final answer
    x = 620,597.54

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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.