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Finding the Fourth Proportional to 467,628.78, 700,428.14 and 287,166.55

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Solution

The fourth proportional to 467,628.78, 700,428.14 and 287,166.55 is: 430,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,628.78 : 700,428.14 = 287,166.55 : x
  2. Step 2: Convert to fraction form
    467,628.78/700,428.14 = 287,166.55/x
  3. Step 3: Cross multiply
    467,628.78x = 700,428.14 × 287,166.55
  4. Step 4: Simplify right side
    467,628.78x = 201,139,532,486.72
  5. Step 5: Solve for x
    x = 201,139,532,486.72/467,628.78
  6. Step 6: Final answer
    x = 430,126.50

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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.