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Finding the Fourth Proportional to 476,144.84, 714,259.18 and 176,628.68

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Solution

The fourth proportional to 476,144.84, 714,259.18 and 176,628.68 is: 264,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,144.84 : 714,259.18 = 176,628.68 : x
  2. Step 2: Convert to fraction form
    476,144.84/714,259.18 = 176,628.68/x
  3. Step 3: Cross multiply
    476,144.84x = 714,259.18 × 176,628.68
  4. Step 4: Simplify right side
    476,144.84x = 126,158,656,141.28
  5. Step 5: Solve for x
    x = 126,158,656,141.28/476,144.84
  6. Step 6: Final answer
    x = 264,958.57

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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.