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Finding the Fourth Proportional to 465,527.61, 698,597.64 and 255,313.17

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Solution

The fourth proportional to 465,527.61, 698,597.64 and 255,313.17 is: 383,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,527.61 : 698,597.64 = 255,313.17 : x
  2. Step 2: Convert to fraction form
    465,527.61/698,597.64 = 255,313.17/x
  3. Step 3: Cross multiply
    465,527.61x = 698,597.64 × 255,313.17
  4. Step 4: Simplify right side
    465,527.61x = 178,361,178,022.92
  5. Step 5: Solve for x
    x = 178,361,178,022.92/465,527.61
  6. Step 6: Final answer
    x = 383,137.70

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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.