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Finding the Fourth Proportional to 486,094.60, 728,267.10 and 416,110.60

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Solution

The fourth proportional to 486,094.60, 728,267.10 and 416,110.60 is: 623,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,094.60 : 728,267.10 = 416,110.60 : x
  2. Step 2: Convert to fraction form
    486,094.60/728,267.10 = 416,110.60/x
  3. Step 3: Cross multiply
    486,094.60x = 728,267.10 × 416,110.60
  4. Step 4: Simplify right side
    486,094.60x = 303,039,659,941.26
  5. Step 5: Solve for x
    x = 303,039,659,941.26/486,094.60
  6. Step 6: Final answer
    x = 623,417.05

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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.