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Finding the Fourth Proportional to 466,701, 700,051.50 and 134,277

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Solution

The fourth proportional to 466,701, 700,051.50 and 134,277 is: 201,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,701 : 700,051.50 = 134,277 : x
  2. Step 2: Convert to fraction form
    466,701/700,051.50 = 134,277/x
  3. Step 3: Cross multiply
    466,701x = 700,051.50 × 134,277
  4. Step 4: Simplify right side
    466,701x = 94,000,815,265.50
  5. Step 5: Solve for x
    x = 94,000,815,265.50/466,701
  6. Step 6: Final answer
    x = 201,415.50

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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.