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Finding the Fourth Proportional to 505,913.92, 759,262.56 and 190,657.60

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Solution

The fourth proportional to 505,913.92, 759,262.56 and 190,657.60 is: 286,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,913.92 : 759,262.56 = 190,657.60 : x
  2. Step 2: Convert to fraction form
    505,913.92/759,262.56 = 190,657.60/x
  3. Step 3: Cross multiply
    505,913.92x = 759,262.56 × 190,657.60
  4. Step 4: Simplify right side
    505,913.92x = 144,759,177,459.46
  5. Step 5: Solve for x
    x = 144,759,177,459.46/505,913.92
  6. Step 6: Final answer
    x = 286,134.01

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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.