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Finding the Fourth Proportional to 465,651.60, 698,574.60 and 265,808.40

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Solution

The fourth proportional to 465,651.60, 698,574.60 and 265,808.40 is: 398,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,651.60 : 698,574.60 = 265,808.40 : x
  2. Step 2: Convert to fraction form
    465,651.60/698,574.60 = 265,808.40/x
  3. Step 3: Cross multiply
    465,651.60x = 698,574.60 × 265,808.40
  4. Step 4: Simplify right side
    465,651.60x = 185,686,996,706.64
  5. Step 5: Solve for x
    x = 185,686,996,706.64/465,651.60
  6. Step 6: Final answer
    x = 398,768.08

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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.