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Finding the Fourth Proportional to 466,360.76, 643,627.50 and 285,178.52

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Solution

The fourth proportional to 466,360.76, 643,627.50 and 285,178.52 is: 393,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,360.76 : 643,627.50 = 285,178.52 : x
  2. Step 2: Convert to fraction form
    466,360.76/643,627.50 = 285,178.52/x
  3. Step 3: Cross multiply
    466,360.76x = 643,627.50 × 285,178.52
  4. Step 4: Simplify right side
    466,360.76x = 183,548,737,881.30
  5. Step 5: Solve for x
    x = 183,548,737,881.30/466,360.76
  6. Step 6: Final answer
    x = 393,576.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.