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Finding the Fourth Proportional to 476,740, 714,958.14 and 156,818.68

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Solution

The fourth proportional to 476,740, 714,958.14 and 156,818.68 is: 235,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,740 : 714,958.14 = 156,818.68 : x
  2. Step 2: Convert to fraction form
    476,740/714,958.14 = 156,818.68/x
  3. Step 3: Cross multiply
    476,740x = 714,958.14 × 156,818.68
  4. Step 4: Simplify right side
    476,740x = 112,118,791,770.06
  5. Step 5: Solve for x
    x = 112,118,791,770.06/476,740
  6. Step 6: Final answer
    x = 235,178.07

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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.