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Finding the Fourth Proportional to 465,708.96, 698,066.10 and 265,598.46

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Solution

The fourth proportional to 465,708.96, 698,066.10 and 265,598.46 is: 398,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,708.96 : 698,066.10 = 265,598.46 : x
  2. Step 2: Convert to fraction form
    465,708.96/698,066.10 = 265,598.46/x
  3. Step 3: Cross multiply
    465,708.96x = 698,066.10 × 265,598.46
  4. Step 4: Simplify right side
    465,708.96x = 185,405,281,138.21
  5. Step 5: Solve for x
    x = 185,405,281,138.21/465,708.96
  6. Step 6: Final answer
    x = 398,114.05

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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.