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Finding the Fourth Proportional to 256,692.22, 384,946.17 and 98,841.34

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Solution

The fourth proportional to 256,692.22, 384,946.17 and 98,841.34 is: 148,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,692.22 : 384,946.17 = 98,841.34 : x
  2. Step 2: Convert to fraction form
    256,692.22/384,946.17 = 98,841.34/x
  3. Step 3: Cross multiply
    256,692.22x = 384,946.17 × 98,841.34
  4. Step 4: Simplify right side
    256,692.22x = 38,048,595,270.67
  5. Step 5: Solve for x
    x = 38,048,595,270.67/256,692.22
  6. Step 6: Final answer
    x = 148,226.52

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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.