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Finding the Fourth Proportional to 410,693.48, 615,166.77 and 197,146.59

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Solution

The fourth proportional to 410,693.48, 615,166.77 and 197,146.59 is: 295,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,693.48 : 615,166.77 = 197,146.59 : x
  2. Step 2: Convert to fraction form
    410,693.48/615,166.77 = 197,146.59/x
  3. Step 3: Cross multiply
    410,693.48x = 615,166.77 × 197,146.59
  4. Step 4: Simplify right side
    410,693.48x = 121,278,030,986.81
  5. Step 5: Solve for x
    x = 121,278,030,986.81/410,693.48
  6. Step 6: Final answer
    x = 295,300.60

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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.