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Finding the Fourth Proportional to 264,390.84, 396,527.94 and 77,416.92

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Solution

The fourth proportional to 264,390.84, 396,527.94 and 77,416.92 is: 116,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,390.84 : 396,527.94 = 77,416.92 : x
  2. Step 2: Convert to fraction form
    264,390.84/396,527.94 = 77,416.92/x
  3. Step 3: Cross multiply
    264,390.84x = 396,527.94 × 77,416.92
  4. Step 4: Simplify right side
    264,390.84x = 30,697,971,808.74
  5. Step 5: Solve for x
    x = 30,697,971,808.74/264,390.84
  6. Step 6: Final answer
    x = 116,108.30

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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.