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Finding the Fourth Proportional to 256,634.70, 384,368.85 and 162,156.30

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Solution

The fourth proportional to 256,634.70, 384,368.85 and 162,156.30 is: 242,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,634.70 : 384,368.85 = 162,156.30 : x
  2. Step 2: Convert to fraction form
    256,634.70/384,368.85 = 162,156.30/x
  3. Step 3: Cross multiply
    256,634.70x = 384,368.85 × 162,156.30
  4. Step 4: Simplify right side
    256,634.70x = 62,327,830,551.26
  5. Step 5: Solve for x
    x = 62,327,830,551.26/256,634.70
  6. Step 6: Final answer
    x = 242,865.95

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1.5x scale

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.